Diagonals of a rhombus are congruent  •True  •False

Q: If two planes intersect, then _____.

A: Intersection of two planes is given by,

Q: The diagram shows the construction of the perpendicular bisector of AB. Which statement is NOT true?

A: Given, C is the mid point of AB  We have to identify the false statement.

Q: Show that the diagonals of a parallelogram are perpendicular if and only if it is a rhombus, i.e.,…

A: please find the attached solution

Q: Quadrilateral RSTU is a rhombus. What is mZURV? R 30° T. MZURV

A:

Q: . If a parallelogram has four equal sides and diagonals that are perpendicular to each other, then…

A: The objective is to find the suitable choice for the given question.

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: Construct the perpendicular bisector of each. Must show all construction marks. 1) 2) 3) 4) 5)

A: To construct the perpendicular bisector to the line, Steps to find perpendicular bisector; Step 1:…

Q: Which of the following statements guarantees that quadrilateral is a rhombus? a) All sides are…

A: Topic:-  geometry

Q: 4. Given: ABCD is a rhombus with diagonal DB Prove: AP = CP P Statement Reason D

A:

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: 1. Rhombus ABCD with vertices A(-3, -2), B(0, 3), C(5, 6), and D(2, 1): (x, y)- (x+2, y-6)

A: In Rhombus, A=(-3,-2)B=(0,3)C=(5,6)D=(2,1)

Q: Prove that the sum ofthe squares of the sides of a rhombus s equal to the sum of the squares of its…

A:

Q: Decide whether each parallelogram JKLM is a rectangle, a rhombus, or a square. Give ALL names that…

A: Decide whether each parallelogram JKLM is a rectangle, a rhombus, or a square. Give ALL names that…

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: Figure MNPQ is a rhombus. Draw diagonals MP and QN and state how they are related

A: We have given information that   MNPQ is a rhombus    We have to draw diagonals MP and QN and…

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: Quadrilateral WXYZ is a rhombus. What is YZ? 2z z+23 Y7 =

A: Find YZ

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: 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: 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: When you know that two consecutive sides of a parallelogram are congruent,you can prove that the…

A: properties of parallelogram  (1) opposite sides are equal  (2) opposites angles are equal  (3)…

Q: For the parallelogram ABCD with vertices A(0, 0), B(a,0), C(a+b, c), and D(b,c) to be a rhombus, it…

A:

Q: What type of quadrilateral has the vertices A(3, 6), B(3,3), C(6, 3),and D(6,6)?* O square O…

A: Correct answar would be option (A).

Q: Given W RST is a parallelogram and W S RT how can you classify W RST ? Explain. O A. Square; WS and…

A:

Q: What kind of figure do you get if you join the midpoints of successivesides of a rhombus? Prove your…

A: We have give a rhombus. AB=BC=CD=AD P,Q,R and S are the mid point side AB, BC, CD and DA…

Q: Prove that quadrilateral GHIJ with the vertices G(-2,2), H(3,4), 1(8,2), and J(3,0) is a rhombus. YT…

A: solution: the objective is to determine whether the given vertices forms a rhombus

Q: K. z,

A: We have a RHOMBUS RYZP  RK=5,RY=13 and ∠YRZ=67°we know that diagonals of rhombus intersects each…

Q: what statements are true about rhombuses?

A:

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: If the statement is true, explain why. If the statement is false, correct it so that it is true. a.…

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

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 RSTU is a rhombus, find mZUTS R (10x - 23)°. U U (3x + 19)°

A: Given RSTU is a rhombus In a rhombus diagonal is the angle bisector of each internal angle. Opposite…

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: 1. Rhombus ABCD with vertices A(-3, -2), B(0, 3) C(5, 6), and D(2, 1): (x, y) → (x + 2, y-6) A'L B'…

A: The given coordinates of rhombus is  A-3,-2, B0,3, C5,6, D2,1 The transformation is x,y→x+2,y-6 So…

Q: Prove that a parallelogram is a rhombus, a parallelogram with four equal sides, if and only if its…

A: Given : ABCD is a parallelogram              AB≅BC              AC⊥BD Prove : ABCD is a rhombus

Q: Prove that the diagonals of any parallelogram bisect each other. (Hint: Label three of the vertices…

A: Given:- ABCD is a parallelogramTo prove:-AO=CO                 DO=BOProof:-In ∆AOD and ∆COB∡OAD=∡OCB…

Q: Match each statement about a rhombus to its truth value; 'Always true, Sometimes True or Never True'…

A: This is a rhombus:

Q: Prove that in rhombus EFGH, the diagonals FH and EG are perpendicular bisectors of each other. A…

A: The given diagram:                 The above diagram is a rhombus EFGH. To prove:   The diagonals FH…

Q: Prove that the diagonals of a rhombus intersect at right angles. (A rhombus is a quadrilateral with…

A: We have to prove that diagonal of rhombus intersects at right angle. Let ABCD is a rhombus.…

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: How can we recognize if the two planes were parallel or not

A: Consider the vector equation of the two given planes as, r→·n1→=d1r→·n2→=d2 Here, n1→ and n2→ are…

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

A:

Q: Determine whether the planes are parallel, perpendicular, or neither. 7x + 7y + 7z = 1, 7x – 7y + 7z…

A:

Q: RSTV

A: In a rhombus, diagonals bisect each other at right angles.

Q: Show whether or not the diagonals of parallelogram ABCD bisect each other given A(-2,2), B(1,4),…

A: The vertices of the parallelogram are given  A(-2, 2) B(1, 4) C(2, 8) D(-1, 6)

Q: Match the theorem or rule for One pair of consecutve It has been proven to be a rhombus and The…

A: Parallelogram is a quadrilateral whose opposite sides are parallel. Square, rectangle and rhombus…

Q: A square and a rhombus have the following in common except.

A: