A parallelogram with congruent diagonals is a rhombus. O True O False

Q: A The parallelogram is not a rhombus.

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Q: 24. If ABCD is a rhombus, AD = 4x + 2. DC = 7x- 13, and BD = 34, find AE.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Rhombus B (1) BC| |AD, DC| |AB,ZBCE = 27° and ZCBE = 63°

A: Given some of the statements about the rhombus ABCD. We need to explain why the given statements are…

Q: 1. State the definition of a rhombus and one property which applies only to a rhombus but not to any…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Which statements are true about rhombuses? (Select all that apply.) Diagonals are congruent…

A: Properties of Rhombus : All sides are equal. Opposite sides are parallel. Opposite angles are…

Q: . If CDEF is a rhombus, find mZFED. C (5x + 1) (8X - 20)°

A: Dear, as per company guidelines we can answer only one question at a time, kindly post other…

Q: Use the diagonals to determine whether the parallelogram with the given would be a rhombus.

A: Given data: The coordinate of the vertex A is (x1, y1)=(0,2). The coordinate of the vertex B is (x2,…

Q: Which statement is true? O All squares are parallelograms. All rectangles are squares. O All…

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Q: Geometry Question

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Q: Given ABCD is a rhombus, m ZABC= 120, and EB = 19. Find the length of AD. D

A: We can find the length of AD as below.

Q: which of the statement could be false? a.the diagonals of a rectangle are congruent b.the diagonals…

A: a)  The diagonals of a rectangle are congruent" which means the diagonals of a rectangle are the…

Q: Determine if this statement is true or false. A rhombus is a parallelogram with four congruent…

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Q: If a parallelogram is a rhombus, then its diagonals are a) congruent. b) none of the above. c)…

A: The explanation of the solution as follows:

Q: Is parallelogram UVWX a rhombus? W yes no Submit

A: If the diagonals of a parallelogram bisects each other at 90° and  all the sides of the…

Q: Construct the perpendicular bisector of AB. A B

A: Take a compass and draw a random curve above line AB by fixing sharpen part of compass at the point…

Q: Being as specific possible, name the type of parallelogram as that a) has congruent diagonals. b)…

A: There are 3 types of parallelogram such as rhombus, rectangle, and square.

Q: A parallelogram is a rhombus if and only if the diagonals are perpendicular. O True O False

A: Properties of rhombus: A quadrilateral is rhombus iff All four sides are equal. Diagonals bisect…

Q: True or False: A rhombus has diagonals that bisect opposite angles.

A: Given statement is : A rhombus has diagonals that bisect opposite angles.

Q: Which formula would you use to determine if the sides of a rhombus are congruent?

A: We will use the following method.

Q: Prove: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

A: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

Q: If ABCD is a rhombus, and mĐ2 = 52°, find mĐ4. %3D A 3 4

A: Given: ABCD is a rhombus and ∠2=52°

Q: The diagonals of rhombus ABCD intersect at E. Given that mZBAC=53° , DE =8, and EC= 6, find m/DAC. B…

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Q: Prove: If the diagonals of a parallelogram are perpendicular, then the parallelogram must be a…

A: Consider the given paralleogram   Since the diagonals of a parallelogram bisect to each other, BE…

Q: this definition, which statement must also be true? A. All parallelograms are rectangles. 3. All…

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Q: Determine if the statement is true or false. A rhombus is a parallelogram with four congruent…

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Q: Write a two-column proof to show that if two consecutive sides of a parallelogram are congruent,…

A: Given problem:- Write a two-column proof to show that if two consecutive sides of a parallelogram…

Q: Which statement is always true? Some rhombi are rectangles. All quadrilaterals are squares. All…

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want any…

Q: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

A: Given- The diagonals of  a parallelogram are prependicular . To show- That the parallelogram is…

Q: If quadrilateral WXYZ is a rhombus and ZY = 25, WY = 40 find each measure.

A: Given that, In the rhombus WXYZ: ZY = 25 ; WY = 40 Since all the sides of a rhombus are equal,…

Q: All rhombuses and kites have diagonals that are perpendicular to each other. O True O False

A: True

Q: Prove: The diagonals of a rhombus divide the rhombus into four congruent triangles.

A: We need to prove that the diagonals of a rhombus divide the rhombus into four congruent triangles.…

Q: Use the precise definition to determine whether the parallelogram is a rectangle, rhombus, or…

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Q: In rhombus ABCD, with diagonals AC and DB, AD- 1O. 6/ 10

A: Since we have been given that in rhombus ABCD, we have been given that the length of diagonal AC¯…

Q: 41 3)

A: Diagonals of rhombus are angle bisector and adjacent angle are supple mentary

Q: The segments joining the midpoints of consecutive sides of an isosceles trapezoid HOME form a…

A: Given that HOME is an isosceles trapezium, so HO||EM and HE≅OM(given). P, Q, R and S are the…

Q: a parallelogram is a rhombus if and only if the diagonals are perpendicular. true or false

A: Yes, a parallelogram is a rhombus if the diagonals are perpendicular.

Q: ABCD is a rhombus with diagonals that intersect at F. Find the mZADC, if MZABD = 2x + 3 and mZDBC =…

A: It is given that ABCD is a rhombus and m∠ABD=2x+3,m∠DBC=4x-1. Sketch the rhombus as follows:

Q: ABCD is a rhombus with sides AB and BC. If AB : %3D 12x - 2 and BC = 3x + 7. Find CD. CD =

A: In rhombus ABCD, AB = 12x-2 BC = 3x+7 To evaluate : The side length CD

Q: C. If PQRS is a rhombus. 5. QR 15, RS = %3D %3D 6. MZQRS 120, mzQRP %3D

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Q: Which of the following is NOT true about the diagonals of a Rhombus? They are perpendicular They are…

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Q: a parallelogram having a perpendicular diagonals is a rhombus.

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Q: The diagonals of rhombus ABCD intersect at E. Given that MZBAC= 53°, DE =8, and EC=6, find mLAEL 53°…

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Q: For which of the following quadrilaterals are the diagonals always perpendicular? Select all that…

A: Properties of a parallelogram Diagonals bisect each other and each diagonal divides the…

Q: Quadrilateral RYZP is a RHOMBUS. If RK = 5, RY = 13 and MZYRZ = 67°, find the mZRZP. * R K. z.

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Q: Prove: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

A: Statement: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Q: Diagonals of a rhombus are congruent  •True  •False

A: Diagonals of a rhombus are congruent  •True  •False

Q: Decide whether the parallelogram is a rhombus, a rectangle, or a square. Explain. The parallelogram…

A: Given: A parallelogram is To determine: Whether the parallelogram is a rhombus, a rectangle, or a…

Q: Prove that the diagonals of a rhombus (parallelogram with 4 equal sides) are perpendicular to each…

A: A parallelogram is a rhombus if all sides are equal.

Q: Show that the quadrilateral with vertices P(1,2) Q(4,4), R(5,9), and S(2,7) is a parallellogram by…

A: The given vertices of the quadrilateral are: P(1,2) Q(4,4), R(5,9), and S(2,7) Since the diagonal of…