If the diagonals of a quadrilateral are congruent and perpendicular, mustthe quadrilateral be a square? a rhombus? Draw a diagram to illustrate your answer.

Q: Which quadrilaterals always have diagonals that are always perpendicular? O Parallelogram O…

A: To find :               Which quadrilaterals always have diagonals that are always perpendicular.

Q: Must the quadrilateral be a parallelogram? Justify your reasoning.

A: The given figure indicates that,  The both pairs of opposite sides are congruent. Hence, as the…

Q: Identify the shape as specifically as possible based on the description below: A quadrilateral…

A: A quadrilateral where all sides are congruent.

Q: Find mZADB. A B (9x + 4)° D (13x – 16)° C

A: With m∠ACD = (13x-16)° and m∠ACB = (9x+4)° To find m∠ADB

Q: One of the angles of a rhombus has a measure of 120. If the perimeter of the rhombus is 24, find the…

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Q: KL. К 7х - 2 L J 12х - 22 M

A: Given: Side KL= 7x-2 Side JM= 12x-22

Q: Quadrilateral ABCD is a rhombus. If AE= 8. find AC. AC =

A: The objective of the question is determine the length of the diagonal AC.

Q: A parallelogram is a quadrilateral with diagonals that bisect each other. O True O False

A: A Quadrilateral with diognals bisect each other is give below

Q: If the quadrilateral below is a rhombus, find the missing measures. If DE = 16x -3, EF = 9x +11, and…

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Q: If the diagonals are not congruent, a quadrilateral is a rhombus, but not a a Square b Trapezoid

A: If the diagonals are congruent for a rhombus then it is a square.

Q: Find the values of x and y that make the quadrilateral a parallelogram.

A: Given,           A quadrilateral ABCD is a parallelogram is shown below :

Q: Determine if the quadrilateral must be a parallelogram. Justify your answer ?

A: 1. Both pairs of opposite sides are identical. 2. Both pairs of opposite angles are identical.  3.…

Q: Is a square an equiangular rhombus? Or is it an equilateral rectangle?

A: A rhombus has 4 equal sides. Opposite pairs of angles are equal in rhombus. A square has 4 equal…

Q: Ye Li drew a quadrilateral that is both a rectangle and a rhombus. Name the quadrilateral and…

A: A quadrilateral that is both a rectangle and a rhombus is a  square.

Q: If the diagonals of a quadrilateral are perpendicular bisectors of each other (but not congruent),…

A: Given  The diagonals of a quadrilateral are perpendicular bisectors of each other (but not congruent…

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: A quadrilateral whose opposite sides are congruent is a parallelogram. O True O False

A: A parallelogram is a quadrilateral .

Q: 5. Is it a parallelogram? If no, explain why not. If yes, decide whether the parallelogram is a…

A: In the question we have to find whether the figure is parallelogram or not.

Q: a quadrilateral is a parallelogram if both pairs of its opposite sides are equal.

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Q: Which quadrilaterals always have diagonals that are always perpendicular? O Parallelogram O…

A: Soln. :- Rhombus quadrilateral always have diagonals that are always perpendicular.

Q: What is the measure of ∠B if the measure of ∠A=82⁰ and quadrilaterals ABCD and AXYZ are…

A: The adjacent angles of a parallelogram are supplementary.

Q: If the diagonals of a parallelogram are perpendicular then what would be the best and most…

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Q: Which is the most precise description of quadrilateral ABCD? A A. rhombus B. rectangle C.…

A: Given :                Which of the most precise description of the quadrilateral ABCD.

Q: In quadrilateral ABCD, ZA = 2C. Which additional statement can be used to show that ABCD is a…

A: Given Angle BAD = Angle BCD Assume that ∠B = ∠D in the quadrilateral ABCD given above. We have to…

Q: What is the most precise name for quadrilateral ABCD with vertices A(-1,0), B(4,0), C(5,4), and…

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Q: (b) For which quadrilaterals do the diagonals bisect each other and have the same length?

A: Quadrilateral: A quadrilateral is a shape with four sides. Examples of quadrilateral are: Square,…

Q: 2. C 15 D CF = FE = %3D 10 CE = %3D GD = F E *FD = 22

A:

Q: If a quadrilateral is a parallelogram, then opposite angles are complementary.

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Q: Is the quadrilateral also a parallelogram? Use complete sentences to explain why or why not. a) A %3…

A: Solution:

Q: A quadrilateral with perpendicular diagonals that is not a parallelogram must be a(n). O A. kite OB.…

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Q: Give the most precise classification for the figure below. A. Quadrilateral  B. Rhombus C. Kite…

A: We are given the following figure.                           Quadrilateral is more general statement…

Q: What name best describes the quadrilateral? %23 十 a. parallelogram b. rhombus C. kite rectangle

A: We observe that in the given quadrilateral, the opposite sides are parallel and equal to each other.…

Q: r x. R (3x + 5)° (9x – 17)° - 'T

A:

Q: If a quadrilateral is a parallelogram, then its diagonals a) bisect opposite angles. b) bisect each…

A: If a quadrilateral is a parallelogram, then its diagonals

Q: What is the most precise name for quadrilateral ABCD with vertices A(-1,0), B(1,2), C(4,2), and…

A: We will use distance formula to find the sides and diagonal of quadrilateral.

Q: Consider the quadrilateral with vertices at A(0, 0), B(a, 0), C(b, c), and D(d, c). Explain why ABCD…

A: Trapezoid: Trapezoids are quadrilaterals which have two parallel sides and two non-parallel sides.…

Q: If the diagonals of a rhombus measure 30 cm. and 78 cm., what is the perimeter of the rhombus?

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Q: What is the most precise name for quadrilateral ABCD with vertices A(-5, 2), B(-3,4), C(5,4), and…

A: We have to check As per guideline we have to solve one question

Q: If the diagonals of a quadrilateral are perpendicular, then the figure is a rhombus. B iUF E E XA E-…

A: Given : If the diagonals of a quadrilateral are perpendicular, then the figure is a rhombus.

Q: Which quadrilaterals always have diagonals that are congruent

A: Which quadrilaterals always have diagonals that are congruent

Q: Why is the quadrilateral a parallelogram? 7. 8. as 5 Type your reason here Type your reason here

A: A quadrilateral which has both pair of opposite angles equal is a parallelogram.

Q: What is the most precise name for quadrilateral ABCD with vertices A(-2, 4), B(3, 4), C(6, 0), and…

A: We can answer the question as below.

Q: F. E. D

A:

Q: A quadrilateral must be a parallelogram if one pair of opposite sides is: OA. congruent and the…

A: use property of triangle to prove the given problem

Q: A quadrilateral is graphed in the coordinate plane below. Which classification best de- scribes the…

A: slope between  and

Q: does the quadrilateral represent a type of parallelogram and what calculations should i make ? i am…

A: We have to choose the correct answer from the given option

Q: Being as specific as possible, name the type of quadrilateral that a) has two pairs of congruent…

A: a). A quadrilateral that has two pairs of congruent adjacent sides is rhombus.

Q: Is this a parallelogram, rectangle, square, kite, rhombus, trapezoid, or just a quadrilateral?

A: It is a trapezoid.

Q: One pair of parallel sides proves a quadrilateral to be a parallelogram

A:

Q: If the diagonals of a quadrilateral are perpendicular bisectors of each other (but not congruent),…

A: Consider a quadrilateral whose diagonals are perpendicular bisectors of each other but not congruent…