Given quadrilateral A(2,-1) B(1,3) C(6,5) D(7,1), you want to prove that it is a parallelogram by showing opposite sides are congruent. What formula would you use? Show that AB is congruent to CD. Show all work.

Q: 15. Can you prove this quadrilateral is a parallelogram? 4

A: Given:     Properties of parallelogram: If a quadrilateral having opposite side and opposite angles…

Q: Determine whether the quadrilateral is a parallelogram. If yes, identify which theorem you used to…

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Q: s of the quadrilateral are parallel. of the quadrilateral are congruent of the quadrilateral are…

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Q: 5A. In quadrilateral ABCD, ∠B=∠D, ∠B= (2x+5)°, ∠A=3x and x=35°, prove that ABCD is a parallelogram.

A: We need to prove that ABCD is parallelogram.

Q: 14a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0) * B * (3, 4) , C(- 2, 6) and D(-…

A: Explanation of the solution is given below...

Q: A parallelogram must be a rectangle when its A diagonals are perpendicular B diagonals are congruent…

A: Given: A parallelogram  must be a rectangle when its diagonal A) diagonal are perpendicular…

Q: Which of the following would show that the diagonals of quadrilateral JKLM on the coordinate plane…

A: The given triangle JKLM is,

Q: Given: Quadrilateral WISH is a parallelogram. a. If mzW = x + 15 and mLS = 2x + 5, what is mzW? b.…

A: Given: Quadrilateral WISH is a parallelogram. To find: If m∠W = x+15  and  m∠S = 2x+5 a)  m∠W = ?…

Q: 17. In quadrilateral ABCD, MZACD = 2r+4 and MZACB= Sx-11. For what value of x is ABCD a rhombus? 4.…

A: Given,           In quadrilateral ABCD, ∠ACD=2x+4 and ∠ACB=5x-11.

Q: What value for x would guarantee that the quadrilateral shown is a parallelogram? 2x Зх + 2 5x-6 2x…

A: We will find the value of x for which the given quadrilateral is a parallelogram.

Q: x + 2y 2x + 2y 7x+8y 5x +9y

A:

Q: Given parallelogram ABCD with vertices A(-3,1), B (2,6), C(9,5) and D(4,0) PROVE ABCD is a rhombus.

A: Given that: ABCD is a parallelogram with vertices A(-3,1), B (2,6), C(9,5) and D(4,0).

Q: 10. Prove that quadrilateral A(1,-2), B(13,4), C(6,8) and D(-2,4) is a trapezoid, but is NOT an…

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Q: AC and D8 are diagonals of the quadrilateral ABCD AO-OC, 80-OD. Prove ABCD is a parallelogram.

A:

Q: allelogram tion to prove each quadrilateral is a parallelogram? Explain. 2. 12 11

A: Parallelogram:- opposite side are parallel and equal.

Q: In rhombus VENU, diagonals VN and EU intersect at S. If VN = 12 and EU = 16, what is the perimeter…

A: Diagram according to the Question Diagonals of Rhombus are Perpendicular Bisecture ( Angle 90°)All…

Q: Quadrilateral ABCD is a rhombus. If AD = 2x+4 and CD = 4x-4, find the value of x. A

A: Topic = Geometry   A rhombus is a quadrilateral whose all four sides are equal in length and…

Q: 8. In parallelogram ABCD, if BC = 3x + 1 and AB = 4x - 2, find the lengths of BC and AD.

A:

Q: 1. Can you prove this quadrilateral is a parallelogram? A

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

A: Given Statement : A paralleogram with congruent diagonals is a rhombus. To find: Whether statement…

Q: ABCD is a rhombus 13. If MLABD = 60, find mzBDC 14 If AE-8, Find AC %3D

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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: In quadrilateral ABCD, ZA-(3x-5)°, ZB=(2x-15)°, (2x+35)° and ZD=(x+25)°. What value of x will make…

A:

Q: Consider a quadrilateral with vertices D(0, 0), J(5, 5), N(8, 4), and G(7, 1). Determine the most…

A: We have to draw the given quadrilateral also find the type.

Q: The diagonals of parallelogram JKLM intersect at P. If PM = 3x – 2, PK = x + 3 and PJ = 4x – 3, find…

A: Use parallelogram properties

Q: RSTU is a parallelogram, If mzTSV = 31 and mzSVT = 126°, explain how you can find the measure of…

A: Given, RSTU is a parallelogram, ∠TSV=31∘ , ∠SVT=126∘.

Q: Prove that a parallelogram is a rectangle if and only if its diagonals are equal in length. (This…

A: Let ABCD be a parallelogram. Given AC and BD are diagonals of parallelogram in equal length. In…

Q: 19a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0), B(3, 4), C(-2, 6) and D(-3, 2).…

A: Given: The coordinates of the quadrilateral are: A=2,0B=3,4C=-2,6D=-3,2 To Prove: ABCD is a…

Q: Can the following quadrilateral be proven to be a parallelogram based on the given​ information?

A: We will prove the given quadrilateral is a parallelogram or not in the following step.

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

A:

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: 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: Can you prove this quadrilateral is a parallelogram?

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Q: In quadrilateral ABCD,∠1=∠2 and ∠B=∠D.  Prove that ABCD is a parallelogram. Use two-column proof

A: In this question we have to proof that given quadrilateral is parallelogram.

Q: A parallelogram with all four sides congruent is classified as a: Trapezoid None of the above…

A: Figure

Q: Given: Quadrilateral ABCD has vertices A(-5,6), B(6,6), C(8,–3), and D(-3,–3). Prove: Quadrilateral…

A: Given:           Quadrilateral ABCD with vertices A(-5, 6), B(6, 6), C(8, -3) and D(-3, -3) To…

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: If the lengths of the diagonals of a parallelogram are congruent, then you can prove it is a square…

A: Consider a parallelogram PQRS with diagonals PR and QS  congruent i.e.  Diagonals PR and QS  are…

Q: the diagonals of a rhombus have lengths 5 and 12, then the perimeter of the rhombus is 48. True or…

A:

Q: Quadrilateral ABCD is a rhombus. If AE = 3x-1 and AC = 16, find x. E.

A: Topic = Geometry   A rhombus is a quadrilateral whose all four sides are equal in length and…

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: For any cyclic quadrilateral, the product of the diagonals equals the sum of the products of the…

A: Here we have to determine the name of the theorem. The given theorem is: For any cyclic…

Q: 14 12 10 PARK 4. 2. 2. 10 12 14 00

A: By using the opposite sides parallel and conjugate theorem we show that the polygon which represent…

Q: Show that quadrilateral RSTV with vertices R(- 5, - 3), S(1, – 11), T(7, -6), and V(1, 2) is a…

A: Solution: Consider the given that RSTV has vertices R(-5, -3) , S(1, -11), T(7, -6), and V(1, 2)…

Q: Prove that quadrilateral A(1,-2) B(13,4) C(6,8) D(-2,4) is a trapezoid, but is NOT an isosceles…

A: Given the quadrilateral vertices are A(1,-2) B(13,4) C(6,8) D(-2,4) To prove that, given vertices…

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: 1. Prove that A(-3; 2), B(1; -6) and C(1; 2) are the vertices of a right-angled triangle a. By…

A: As per bartleby answering guidelines, we are supposed to answer only one question at a time. In case…

Q: ABCD is a quadrilateral with AB = x, CD = 2ỷ, and AC = 33 – ỷ. Express - BD and BC in terms of x and…

A:

Q: The vertices of quadrilateral PQRS form a square P(0, 0), Q(4, 3), R(7, -1) and S(3, -4). Use…

A: locating the points on the graph we get