A is (1, –2) and B is (3, 6). a) Find the length of AB. b) Find the mid-point of AB. c) Find the equation of the perpendicular bisector of AB.

Q: In the accompanying diagram, AB CD and intersects transversal GH at points E and F respectively.…

A: Consider the following figure: AB↔∥CD↔ GH↔ is transversal.

Q: In the diagram of AUVW below, A is the midpoint of UV, B is the midpoint of UW, C is the midpoint of…

A: Here we have to calculate lenth of vc ,

Q: AABC has an inscribed rhombus ARST. If AB = 10 and AC = 6, find the length x of each side of the…

A: We have, In △ABC, the rhombus □ARST is inscribed such that each side length is x units. Also AB=10…

Q: A D B C

A:

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

A: properties of parallelogram:- a)two pairs of opposite sides parallel. . b)two pairs of opposite…

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: 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: 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: To construct the square ABCD with the diagonal BD as shown, begin by constructing the…

A:

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: The diagonals of parallelogram ABCD intersect at P. Which statements must be true?

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Q: F. Quadrilateral ABCD is a parallelogram wherein two consecutive angles are supplementary. D 40° A-

A: Since, the student has mentioned to solve question number (F). So, we are solving only question…

Q: ABCD is a parallelogram and M and N are the midpoints of BC and CD respectively. AM and BN intersect…

A:

Q: Find the value of u that makes quadrilateral VWXY a parallelogram. W

A: Geometry Question

Q: In the accompanying diagram of AABC, AB = 4x - 3, BC = 2x + 7, AC = 5x- 1, and the perimeter of AABC…

A:

Q: 1. In the accompanying diagram of parallelogram ABCD, DE bisects ZADC and mZA = 44. Find %3D MZCDE.…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

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: Triangle XYZ is congruent to Triangle ABC, AB = 8x + 33, XY = 2x + 57, BC = 3x + 48. Find the…

A: Given ,  Triangle XYZ is congruent to Triangle ABC AB = 8x + 33 , XY = 2x + 57, BC = 3x + 48 We have…

Q: Suppose the parallelogram ABCD shown below has diagonals AC = 9 and BD = 9. What is the length of…

A:

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

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Q: The diagonals of a rhombus measure 6 m and 8 m. How long are each of the congruent sides?

A: Given, diagonals of a rhombus measure 6 m and 8 . We know, Diagonals of a rhombus bisect each other…

Q: :Find the four angles of a cyclic quadrilateral ABCD in which <A =(2x-1)°, <B = (y+5)°<C=(2y+15)°…

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

A: We will use the following method.

Q: explain why there is not enough information to state that CP is the perpendicular bisector of AB

A: The Perpendicular Bisector Theorem states that a point on the perpendicular bisector of a line…

Q: Use the converse of the Pythagorean Theorem to show thata triangle whose sides are of lengths 11,…

A: The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a…

Q: ABCD is a quadrilateral in which P and Q are the mid points of the diagonals AC and BD respectively.…

A: Use summation of vector to solve

Q: Find the value of x and y so that the quadrilateral is a parallelogram. X+20 3y+ 2 y+20 Зх— 14

A:

Q: Use the diagonals to determine whether the parallelogram with the given would be a rhombus. ty B(3,…

A: Given:

Q: Lilliana believes that point M is the midpoint of line segment AB. Which construction could she use…

A:

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: In rhombus ABCD, AB= 6x-30 and BC= 2x+30. Find the perimeter of the rhombus as a number.

A:

Q: In parallelogram ABCD, point o 1s intersection of diagonals AC and 15 and AB=6, Pind sum BD. If the…

A: We know that diagonals of a parallelogram bisects each other. So we can say that OD = OB and OA=…

Q: For ABCD, a convex quadrilateral with AB = 13 = BD, BC = CD, AD = 10 and BCD = 90°. If M is the…

A: Given: ABCD is a convex quadrilateral AB=BD=13 and BC=CD, and M is the mid point of AD and angle…

Q: Find the values of x and y that make the quadrilateral a parallelogram. 16 9. X= y = D

A: Here we find out value of x and y for parallelogram sides.

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: 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: Show that quadrilateral ABCD is a parallelogram. D (b, c C(a+b A 10, 0) B(a, O

A: Given: Formula used: m=y2-y1x2-x1

Q: C B. А- P.

A: From the diagram we can see that ∠CPB=90° but AP≠PB.

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: In the drawing, suppose that WY and XZ bisect each other. What type of quadrilateral is WXYZ? W Y

A: Solution: Consider the given two lines WY and XZ bisect each other  Therefore if we find…

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: 12 65° D C Given that the quadrilateral shown is a parallelogram, which statements are correct?

A: The properties of parallelogram are: The opposite sides of parallelogram are parallel to each…

Q: ABCD is a parallelogram. If AB = 9x + 27, BC = 6x+ 12 and DA = -2x + 36, find both x and the length…

A: Given : ABCD is a parallelogram. AB = 9x+27BC = 6x+12DA = -2x+36

Q: If PT = 2v - 11 and RT = 7v - 71, find the value of v that makes quadrilateral PQRS a parallelogram.…

A: Parallelogram:- a parallelogram is a quadrilateral with two pairs of parallel sides. The opposite…

Q: 5(b) Given a parallelogram ABCD with points M and N that trisect the diagonal [BD] (see diagram…

A: A figure is shown M and N trisect diagonal BD

Q: If AB= 2x + 1, DC = x + 5 and BC= 2x-1, find all the sides of parallelogram ABCD. Find its…

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Q: In parallelogram ABCD, AB = x+9, BC = x+5, and CD = 2x-3. Find the length of side AD.

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Q: 2. In the figure, POST is a parallelogram and POR is an isosceles triangle. PR = OR, TPO = 136 and e…

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Q: In the diagram below of trapezoid RSUT, RS || TU, X is the midpoint of RT , and V is the midpoint of…

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Q: Consider the quadrilateral with vertices at M(0, 0). N(a, 0), P(a + b. c), and Qlb, c). Explain why…

A: MN=a-02+0-02=aPQ=a+b-b2+c-c2=aMQ=b-02+c-02=b2+c2NP=a+b-a2+c-02=b2+c2 Clearly, MN=PQ  &amp;  MQ=NP