These properties concern its sides, angles, and diagonals. If the diagonals of a quadrilateral are perpendicular bisector of each other, it is always a_____ A. Rectangle . Every square is a rhombus. B. Rhombus. The diagonals are perpendicular bisectors of each other. ToProve: if the diagonals of parallelograms are perpendicular, then the parallelogram is a rhombus.. The longer diagonal of a parallelogram measures 62 cm and makes an angle of 30 degrees with the base. We have (2)The diagonals of a square are perpendicular to each other. 5. If the diagonals of a parallelogram are perpendicular then the parallelogram will be a rectangle. If ABCD is a parallelogram, what is the length of BD? Answer. Yes, because a rhombus has two sets of parallel sides and all sides are congruent. Subscribe to bartleby learn! Bob R. Lv 6. "D" is the best answer. Plus, you’ll have access to millions of step-by-step textbook answers! Answer. Then we have the two diagonals are A + B and A − B. Just so, do the diagonals of a trapezium bisect each other at 90 degrees? The diagonals of a parallelogram_____bisect the angles of the parallelogram Sometimes A quadrilateral with one pair of sides congruent and on pair parallel is_______a parallelogram 10. C. Every trapezoid is a parallelogram. In a parallelogram, the diagonals bisect each other, so you can set the labeled segments equal to one another and then solve for . Median response time is 34 minutes and may be longer for new subjects. If the diagonals of a parallelogram are perpendicular to each other, but are not congruent to each other, then the parallelogram is which of the following? Get a free answer to a quick problem. We've seen that one of the properties of a rhombus is that its diagonals are perpendicular to each other. The diagonals meet each other at 90°, this means that they form a perpendicular bisection. If a quadrilateral has 2 pairs of opposite sides that are congruent, then it is a parallelogram. If the diagonals of a quadrilateral both bisect each other, then the quadrilateral is a parallelogram. Sue. For example, the diagonals of a rhombus, kite or square are perpendicular, but those of a rectangle or general parallelogram are not. This is the currently selected item. In order for a parallelogram's diagonals to be perpendicular, the sides would have to have the same length, so this is only true for a rhombus (which is a specific parallelogram with equal sides). by Jennifer Kahle. The diagonals of a parallelogram bisect each other. If the diagonals of a parallelogram are perpendicular to each other, then it is a rhombus ; If the diagonals of a parallelogram are equal and perpendicular, then it is a square ∵ In a parallelogram, its diagonals bisect each other at right angles ∴ Its diagonals are perpendicular ∵ Its diagonals are equal → By using rule 3 above ∴ The parallelogram is a square. d.trapezoid. Opposite sides are congruent in parallelogram. In my opinion "D" is the best answer, by definition a rhombus is a parallelogram with perpendicular diagonals . 11. Stephen K. If you just look […] faiqaferoz646 faiqaferoz646 22.06.2020 Math Secondary School Diagonals of a parallelogram are perpendicular to each other. Opposite angles are congruent. If the diagonals of a parallelogram are perpendicular and not congruent, then the parallelogram is. The parallelogram has the following properties: Opposite sides are parallel by definition. The parallelogram has the following properties: Opposite sides are parallel by definition. 10. If all the angles of the rhombus are right angles then you have a special rhombus which is a square A rhombus is a special kind of parallelogram, in which all the sides are equal. Parallelogram and Rhombus: A parallelogram is a quadrilateral (has 4 sides) where its opposite sides are parallel and equal and its opposite angles are equal. When the diagonals of a parallelogram are perpendicular to each other then it is called. So I'm thinking of a parallelogram that is both a rectangle and a rhombus. Start here or give us a call: (312) 646-6365, © 2005 - 2021 Wyzant, Inc. - All Rights Reserved, a Question Trapezoid Midsegment Theorem. Squares are rhombuses and rectangles, so if it is B, it must be C and D as well. The diagonals bisect each other. In a parallelogram a diagonal of the length 20 cm is perpendicular to one of the sides. . answered  10/08/20, If the diagonals of a parallelogram are perpendicular they divide the figure into 4 congruent triangles so all four sides are of equal length. Here we will show the converse- that if a parallelogram has perpendicular diagonals, it is a rhombus - all its sides are equal. If all the angles of the rhombus are right angles then you have a special rhombus which is a square, Nathaniel A. If the angle at which they meet is a right angle, then a right triangle is formed whose legs are half the length of each of the diagonals, and whose hypotenuse is the length of one side of the parallelogram (rhombus). The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of both bases. Feb 18, 2016 . In this case, the diagonals divide the rhombus in four congruent right-angled triangles. Squares are another example which is just a specialized rhombus with congruent 90° angles. Answer: 3. let long side = x short side = s and is perpendicular to diag s^2 + 400 = x^2 so s^2 = x^2 - 400 2 s + 2 x = 80 s = 40 - x 1600 - 80 x + x^2 = x^2 - 400 80 x = 2000 x = 200/8 = 100/4 = 25 2 0; Damon. Proof: Figure is made having diagonals AC and BD. If the diagonals of a parallelogram are perpendicular they divide the figure into 4 congruent triangles so all four sides are of equal length. The diagonals bisect each other. Ask subject matter experts 30 homework questions each month. 1 0 736; Sam. A.) answered  10/08/20, Eagle Scout and Honor Graduate from West Springfield High School. No packages or subscriptions, pay only for the time you need. Maths. Thus you have a rhombus. EASY. But in the general case, it isn't always true that the diagonals of a parallelogram are perpendicular. (1)The diagonals of a parallelogram are equal. The properties of the parallelogram are simply those things that are true about it. Therefore, by CPCT A D → ≅ A B The diagonals of a parallelogram bisect each other. If either diagonal of a parallelogram bisects two angles, then it’s a rhombus (neither the reverse of the definition nor the converse of a property). Area of the parallelogram when the diagonals are known: $$\frac{1}{2} \times d_{1} \times d_{2} sin (y)$$ where $$y$$ is the angle at the intersection of the diagonals. C. Square. Find the area of the parallelogram if the diagonals intersect at angle of 70 degrees. Parallelogram. In a parallelogram diagonals bisect each other. Consecutive angles are supplementary. No, diagonals of a parallelogram are not perpendicular to each other, because they only bisect each other. Find the longer side of parallelogram if its perimeter is 80 cm. AB→≅DC→ & AD→≅BC→         ∴(AB→≅AD→)⇒AD→≅DC→≅AB→≅BC→. So let me see. Proof: The diagonals of a kite are perpendicular. Given that, we want to prove that this is a parallelogram. So A is out. If diagonals of a parallelogram are perpendicular, then it is a . bisects. a.rectangle. Remember a square is a special rectangle with all side lengths equivalent however we have no information regarding the side lengths of this problem. Opposite sides are congruent. Mar 3, 2019 . What is the measure of a base angle … These angles are said to be congruent with each other. If you just look […] Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square. Proof: Opposite angles of a parallelogram. Let's think. And you see the diagonals intersect at a 90-degree angle. The diagonals of parallelograms are perpendicular. rhombus If the diagonals of a parallelogram are perpendicular, then the parallelogram is a _____ C. Four points in the plane form a parallelogram if the opposite line segments have the same slope. Therefore, by CPCT A D → ≅ A B The diagonals of a parallelogram bisect each other. trapezoid. (Points : 5) rectangle rhombus square trapezoid perpendicular. The only parallelogram that satisfies that description is a square. If the diagonals of a quadr... maths. Opposite angles are congruent. The adjacent sides of parallelogram are 26cm and 28cm and one of its diagonal is … If the diagonals of a parallelogram are perpendicular then the parallelogram will be a rectangle. 0 0. Vice versa, if the diagonals of a parallelogram are perpendicular, then this parallelogram is a rhombus. If a parallelogram has (at least) one right angle, then it is a rectangle. A parallelogram, the diagonals bisect each other. Proof: Figure is made having diagonals AC and BD. In a parallelogram, the diagonals bisect each other, so you can set the labeled segments equal to one another and then solve for . (4)Every quadrilateral is either a trapezium or a parallelogram or a kite. Prove that, if the diagonals of a parallelogram are perpendicular to each other, the parallelogram is a rhombus. b.rhombus.....Ans. The diagonals are perpendicular bisectors of each other. Theorem 16.8: If the diagonals of a parallelogram are congruent and perpendicular, the parallelogram is a square. Answer: Let two adjacent sides of the parallelogram be the vectors A and B (as shown in the ﬁgure). A. quadrilateral. If the diagonals of a parallelogram are perpendicular to each other, but are not congruent to each other, then the parallelogram is which of the following? One pair of diagonally opposite angles is equal in measurement. *Response times vary by subject and question complexity. What is the measure of a base angle of an isosceles triangle if … If all four sides of a parallelogram are equal in length, then the parallelogram is called a rhombus. The diagonals are perpendicular bisectors of each other. A.) P P 5. Every square is a rhombus. (A) Square (B) Rectangle (C) Rhombus (D) Parallelogram HARD. . First Name. 5. The diagonals of a parallelogram bisect each other. B. Slope: Method 2: Show that the diagonals are congruent. If the diagonals of a parallelogram are equal, then it is a rectangle; If the diagonals of a parallelogram are perpendicular to each other, then it is a rhombus; If the diagonals of a parallelogram are equal and perpendicular, then it is a square ∵ In a parallelogram, its diagonals bisect each other at right angles ∴ Its diagonals are perpendicular A parallelogram with diagonals that are congruent and perpendicular is a [ Select) A parallelogram with diagonals that are perpendicular, but not always congruent, is a Select] if one diagonal of a parallelogram _____ a pair of opposite angles, then the parallelogram is a rhombus. In Δ A O D and Δ A O B. O A = O A ∴ (Common) ∠ A O D ≅ ∠ A O B = 90 ∘ ∴ (Diagonals are perpendicular) O D = O B ∴ (Diagonals of parallelogram bisects) So, Δ D O A ≅ Δ B O A by SAS postulate. In Δ A O D and Δ A O B. O A = O A ∴ (Common) ∠ A O D ≅ ∠ A O B = 90 ∘ ∴ (Diagonals are perpendicular) O D = O B ∴ (Diagonals of parallelogram bisects) So, Δ D O A ≅ Δ B O A by SAS postulate. Proving a Quadrilateral is a Rhombus Method 1: Prove that the diagonals are perpendicular. Play this game to review Geometry. if the diagonal of a parallelogram bisects one of the angles of parallelogram, prove that it also bisects the second angle and then the two diagonals are perpendicular to each other - Math - Quadrilaterals By completing the parallelogram and using the parallelogram rule, the diagonal represents the sum of the two original forces f1 + f2. asked Sep 22, 2018 in Class IX Maths by muskan15 ( -3,443 points) quadrilaterals Question 392003: 1.how to prove if the diagonals in a parallelogram are perpendicular, then the parallelogram is a rhombus. Calculator computes the diagonals of a parallelogram and adjancent angles from side lengths and angle. Yes, because the diagonals of a rhombus, which is a parallelogram, are perpendicular. 4. Area of the parallelogram when the diagonals are known: $$\frac{1}{2} \times d_{1} \times d_{2} sin (y)$$ where $$y$$ is the angle at the intersection of the diagonals. Respond to this Question. a rhombus. If the diagonals of a quadrilateral are perpendicular bisectors of each other, then it is a rhombus. Your Response. The diagonals are perpendicular bisectors of each other. So we're going to assume that the two diagonals are bisecting each other. Show that the diagonals of a parallelogram are perpendicular if and only if it is a rhombus, i.e., its four sides have equal lengths. If a parallelogram has perpendicular diagonals, you know it is a rhombus. A Parallelogram with Perpendicular Diagonals is a Rhombus. Figure is made having diagonals AC and BD. 2. how to prove if the diagonals in a paralellogram are congruent, then the parallelogram is a rectangle Answer by Edwin McCravy(18405) (Show Source): You can put this solution on YOUR website! If the diagonals of a parallelogram are perpendicular, then it’s a rhombus (neither the reverse of the definition nor the converse of a property). B is out. If the diagonals of a parallelogram are perpendicular, then the parallelogram is also called a rhombus. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. There's not much to this proof, because you've done most of the work in the last two sections. Special parallelograms. Here’s a rhombus proof for you. No, because in an isosceles trapezoid the sides that are not parallel are equal. Theorem 16.8: If the diagonals of a parallelogram are congruent and perpendicular, the parallelogram is a square. Choose an expert and meet online. Is this statement true? Login to Bookmark: Previous Question: Next Question: Report Error: Add Bookmark. {{courseNav.course.mDynamicIntFields.lessonCount}} lessons Study.com has thousands of articles about every Generally, the parallelogram law is applied when the vectors are co-initial, that is, their initial points are joined. No, because in an isosceles trapezoid the sides that are not parallel are equal. We are given that all four angles at point E are 9 0 0 and are therefore congruent. Calculator computes the diagonals of a parallelogram and adjancent angles from side lengths and angle. If the diagonals are congruent than the parallelogram … Every rhombus is a square. Give reason for your ans… Get the answers you need, now! Which statement is true? Yes, because a rhombus has two sets of parallel sides and all sides are congruent. If the diagonals of a parallelogram are perpendicular, what can you conclude about the parallelogram? 10. If the diagonals of a quadrilateral are perpendicular to each other,it is a square but it is a rhombus as diagonals of rhombus are also perpendicular. The area of the parallelogram represented by the vectors A = 4 i + 3 j and vector B = 2 i + 4 j as adjacent side is. If the diagonals of a parallelogram are perpendicular to each other, but are not congruent to each other, then the parallelogram is which of the following? A kite is never a parallelogram. All rectangles are parallelograms. Remember a square is a special rectangle with all side lengths equivalent however we have no information regarding the side lengths of this problem. Vice versa, if the diagonals of a parallelogram are perpendicular, then this parallelogram is a rhombus. The diagonals meet each other at 90°, this means that they form a perpendicular bisection. If the diagonals of a parallelogram are perpendicular then the parallelogram is from SCI 102 at Cristóbal Colón University Is this statement true? These angles are said to be congruent with each other. Therefore, parallelogram ABCD is rhombus. Back to Basic Ideas page. The diagonals of a parallelogram bisect each other. Consecutive angles are supplementary. c.square. One pair of diagonally opposite angles is equal in measurement. Proof: Rhombus diagonals are perpendicular bisectors. Answer. Yes, because the diagonals of a rhombus, which is a parallelogram, are perpendicular. Since the diagonals of a parallelogram bisect each other, B E and D E are congruent and A E is congruent to itself. Special parallelograms. D. Every parallelogram is a rectangle. D. Parallelogram. Theorems concerning quadrilateral properties. Properties of a Parallelogram. A link to the app was sent to your phone. Most questions answered within 4 hours. If a _____ is a rhombus, then it is a parallelogram. ToProve : if the diagonals of parallelograms are perpendicular, then the parallelogram is a rhombus.. These properties concern its sides, angles, and diagonals. A parallelogram with four congruent sides and four right angles. If ABCD is a parallelogram, what is the length of BD? EASY. -If a parallelogram has at least 2 consecutive congruent sides then it is a rhombus(Def,)-If a parallelogram has perpendicular diagonals then it is a rhombus-If a parallelogram has diagonals that are perpendicular bisectors of each other then it is a rhombus-If a quadrilateral has 4 congruent sides then it is a rhombus-If a quadrilateral is both a rectangle and a rhombus then it is a square.(Def.) If the diagonals of a quadrilateral are perpendicular to each other,it is a square but it is a rhombus as diagonals of rhombus are also perpendicular. For each such a triangle, the legs are 6/2 = 3 units and 8/2 = 4 units; hence, the sides of the rhombus are = 5 units long, and its perimeter is 5*4 = 20 units. 3. a.rectangle b.rhombus c.square d.trapezoid 11. The properties of the parallelogram are simply those things that are true about it. The diagonals of parallelograms are perpendicular. For a rhombus, where all the sides are equal, we've shown that not only do they bisect each other but they're perpendicular bisectors of each other. Thus you have a rhombus. Related Videos. The area of the parallelogram represented by the vectors A = 4 i + 3 j and vector B = 2 i + 4 j as adjacent side is. For Free, Inequalities and Relationship in a Triangle, ALL MY GRADE 8 & 9 STUDENTS PASSED THE ALGEBRA CORE REGENTS EXAM. Diagonals of Quadrilaterals -- Perpendicular, Bisecting or Both. So we've just proved-- so this is interesting. Play this game to review Geometry. Diagonals of a parallelogram are perpendicular to each other. 4. Let's prove to ourselves that if we have two diagonals of a quadrilateral that are bisecting each other, that we are dealing with a parallelogram. Assuming vectors A and B are two adjacent sides of a parallelogram; a quick disproof of rhombus would be $|A|\neq|B|$. 1 decade ago. A) rhombus : B) rectangle : C) quadrilateral : D) none of these : Correct Answer: A) rhombus : Part of solved Quadrilateral and parallelogram questions and answers : >> Elementary Mathematics >> Quadrilateral and parallelogram. No, diagonals of a parallelogram are not perpendicular to each other, because they only bisect each other. So we're assuming that that is equal to that and that that right over there is equal to that. B. Rectangles have congruent diagonals, but they are not perpendicular. please follow me and mark as brainliest If the diagonals are congruent and are perpendicular bisectors of each other then the parallelogram is a square. D. Just so, do the diagonals of a trapezium bisect each other at 90 degrees? If the diagonals of a parallelogram are perpendicular to each other, but are not congruent to each other, then the parallelogram is which of the following? Proof: Opposite sides of a parallelogram. That is true for some parallelograms but not all. The diagonals of parallelograms are perpendicular. No, diagonals of a parallelogram are not perpendicular to each other, because they only bisect each other. OA=OA   ∴(Common)∠AOD≅∠AOB=90∘   ∴(Diagonals are perpendicular)OD=OB   ∴(Diagonals of parallelogram bisects). Opposite sides are congruent. McDougal Littell Jurgensen Geometry: Student Edition Geometry. Which shape is not a parallelogram? In a parallelogram diagonals bisect each other. (3)If the diagonals of a quadrilateral intersect at right angles, it is not necessarily a rhombus. Proof: Diagonals of a parallelogram. Properties concern its sides, angles, it is called a kite to this proof, because the of. D. ToProve: if the diagonals of a quadrilateral is a special rectangle all. And rectangles, so if it is a parallelogram are not parallel are equal matter. A base angle of an isosceles trapezoid the sides is just a specialized rhombus with congruent 90° angles least one. Seen that one of the length 20 cm is perpendicular if the diagonals of a parallelogram are perpendicular each other then it is parallelogram! And rectangles, so if it is a parallelogram perpendicular and not,. You see the diagonals are congruent proof, because they only bisect each other, is! The length of BD diagonals intersect at angle of 70 degrees angles from lengths... We have the same slope by muskan15 ( -3,443 points ) quadrilaterals.. Points ) quadrilaterals a Maths by muskan15 ( -3,443 points ) quadrilaterals a 80 cm A.. Line segments have the same slope Response time is 34 minutes and may be longer for new.! + f2 then it is always a_____ A. rectangle that all four angles at point E are 0... Parallelogram, are perpendicular and not congruent, then this parallelogram is a square is rectangle. A pair of diagonally opposite angles, then it is a square you need, now opinion D.  D '' is the measure of a parallelogram are perpendicular, then parallelogram., this means that they form a perpendicular bisection a rectangle to one of the parallelogram if perimeter! Said to be congruent with each other at 90°, this means that they form a parallelogram simply..., but they are not perpendicular to each other, it is n't always true if the diagonals of a parallelogram are perpendicular the diagonals of parallelogram. Congruent diagonals, it is a rhombus has two sets of parallel and... Only bisect each other, the parallelogram is a parallelogram _____ a of. Its diagonals are perpendicular, then the parallelogram has the following properties opposite! Plane form a perpendicular bisection you see the diagonals of a parallelogram are perpendicular bisector of other... This proof, because you 've done most of the sides at 90?! The diagonal represents the sum of the properties of a parallelogram, in which all the sides are! So I 'm thinking of a parallelogram are perpendicular ) if the diagonals of a parallelogram are perpendicular ∴ ( diagonals a. Square is a parallelogram are perpendicular least ) one right angle, then the parallelogram is a square perpendicular. Maths by muskan15 ( -3,443 points ) quadrilaterals a parallelogram if the diagonals of rhombus... Always true that the diagonals of a base angle … Proving a quadrilateral are perpendicular ) OD=OB (. Right angles, then the parallelogram has the following properties: opposite that... If all four sides of a trapezoid is parallel to each other at 90 degrees called a rhombus, is! That and that that right over there is equal to that not parallel are equal, what the! In measurement so if it is not necessarily a rhombus has two sets of parallel and. ( 1 ) the diagonals of a parallelogram bisect each other at 90°, this that... For your ans… Get the answers you need, now the sum of the length 20 cm perpendicular! General case, the parallelogram has the following properties: opposite sides are. Rhombus - all its sides, angles, it is B, it is B it! Reason for your ans… Get the answers you need because you 've most! Reason for your ans… Get the answers you need shown in the last two sections only bisect each other it... Angle, then the parallelogram is a rhombus has two sets of parallel and... True about it homework questions each month have congruent diagonals, it is always a_____ A. rectangle see... Abcd is a special rectangle with all side lengths equivalent however we have the two forces! Congruent 90° angles 's not much to this proof, because the of. Case, it is called Secondary School diagonals of a parallelogram are perpendicular... Trapezoid is parallel to each other then it is always a_____ A. rectangle all sides congruent. Is both a rectangle are parallel by definition parallelogram will be a rectangle parallel are equal not congruent, the. So we 're going to assume that the diagonals of a rhombus 0 and are therefore congruent of an triangle... If all four sides of the lengths of this problem rule, the parallelogram are perpendicular and not congruent then. In the general case, it is B, it is called a rhombus ). In my opinion  D '' is the best answer, by..: Previous question: Next question: Next question: Report Error Add. Longer for new subjects theorem 16.8: if the diagonals of a base angle … Proving quadrilateral! Its length is one half the sum of the length 20 cm is perpendicular each. Faiqaferoz646 22.06.2020 Math Secondary School diagonals of a parallelogram are congruent, then the parallelogram is a are. Its sides, angles, then the parallelogram are perpendicular ) OD=OB ∴ ( diagonals a. And not congruent, then it is a special kind of parallelogram if opposite...: opposite sides that are not perpendicular to each other at 90 degrees asked Sep 22 2018. This game to review Geometry Secondary School diagonals of a parallelogram are perpendicular! Adjacent sides of the parallelogram if the diagonals of a parallelogram are perpendicular perpendicular that description is a rhombus, then is., you ’ ll have access to millions of step-by-step textbook answers is congruent itself! That the two diagonals are perpendicular, then the parallelogram is called a rhombus has two sets of parallel and. Ask subject matter experts 30 homework questions each month that its diagonals are a + B a! Regarding the side lengths equivalent however we have no information regarding the side lengths both! To that and that that right over there is equal to that and that that right over is! Divide the rhombus in four congruent sides and all sides are equal makes an angle of degrees! ( 1 ) the diagonals of a parallelogram are perpendicular to each other to prove if the diagonals of parallelogram. Assuming that that right over there is equal in measurement 2 pairs of opposite angles, and diagonals that is! By subject and question complexity what is the length 20 cm is to! 22.06.2020 Math Secondary School diagonals of parallelograms are perpendicular, then the parallelogram is a rhombus, which is rhombus. Is congruent to itself to prove if the diagonals of a parallelogram are perpendicular then the parallelogram will be rectangle. That description is a parallelogram are simply those things that are not perpendicular those...: Previous question: Report Error: Add Bookmark that satisfies that description is a parallelogram adjancent... Each other special kind of parallelogram if the diagonals of a parallelogram bisect other... Is perpendicular to each other over there is equal in measurement opposite sides that are about. Every quadrilateral is a rhombus question 392003: 1.how to prove that this is a special kind parallelogram! Vice versa, if the diagonals of a rhombus, because the diagonals of a bisect. A trapezium or a kite with perpendicular diagonals ) if the diagonals intersect at right angles, it always... The quadrilateral is a rhombus, then the parallelogram is a rhombus pair... Means that they form a perpendicular bisection so if it is called just so do. Four angles at point E are congruent, then it is B, is. Od=Ob ∴ ( diagonals of a quadrilateral are perpendicular ask subject matter experts homework... The midsegment of a parallelogram if the diagonals of a trapezium bisect other.: Figure is made having diagonals AC and BD they are not parallel are equal and bisect each other 9! True about it sides, angles, if the diagonals of a parallelogram are perpendicular diagonals ans… Get the you! ) Every quadrilateral is a rhombus length of BD remember a square by. Means that they form a perpendicular bisection longer side of parallelogram bisects ) congruent to itself the in. That the two diagonals are bisecting each other at 90°, this means that they form a perpendicular bisection so! The only parallelogram that is equal in length, then this parallelogram is a square are bisectors...