For regular hexagon ABCDEF, the length of side AB is 4 in. Find the exact length of a) diagonal AC. b) diagonal AD. D.

Q: which polygon must have congruent diagonals

A: We know that the congruent diagonal means diagonal distances remain the same.

Q: Inside the square ABCD are the points E, F, G and H  such that the triangles ABE, BCH, CDG and DAF…

A: We have to find the ratio of the area of the square ABCD and the area of the quadrilateral EFGH.

Q: 8) Challenge: Prove the following theorem: If two sides of a parallelogram are perpendicular, then…

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Q: In quadrilateral ABCD (Figure 8.20), the lengths of the sides and of diagonal BD are shown. Find the…

A: Given: A quadrilateral ABCD Formula Used: Heron's Formula: s=a+b+c2Area=ss-as-bs-c

Q: uadrilateral ABCD is circumscribed about 0. If AB = 13, BC = 10, and CD = 9 nd the length of side…

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Q: 3) Which equation can be used to find A, the area of the parallelogram shown? 7 cm 10 cm A A = ¹ × 7…

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Q: In rectangle ABCD below AC 26 and AD = 24. What is the MZBAC ? %3D

A: Given, A rectangle ABCD AC = 26AD = 24 We have to find m∠BAC.

Q: 2 cm 75h 8 cm The diagram shows a quadrilateral ABCD. Given BCD is an isosceles triangle, BC=6 cm…

A: We have to find length of BD and angle ADB

Q: 25) In rectangle ABCD, E and F are the midpoints of DC and AD respectively. If area of the shaded…

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Q: EB so as to form a quadrilateral EBCD. Prove that a² + b² = c² by relating the area of the…

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Q: n ABCD, 2C = ZB, BC = 15 and DB = 8. Find the length of CD.

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Q: Given the coordinates A(6, –3) and B(4, –5), find the length of AB, a) 2/2 b) 2 c) 3/2 d) 4 e) 5/2

A: Given  A(6,-3) and B(4,-5) Length of AB is given by  Length = √((x2-x1)2+(y2-y1)2)

Q: A cyclic quadrilateral ABCD is inscribed in a circle whose sides AB-10cm, BC-20cm, CD-30cm and…

A: By Ptolemy's theorem,  We know that, in a cyclic quadrilateral, the sum of product of the two pairs…

Q: Q5) Consider the quadrilateral shown: i) Calculate the size of the angle ABC. ii) Find the area of…

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Q: In ATUV, ZT = LU. a) If VT = 7.6 inches and TU = 4.3 inches, find VU. b) If VT = 4x + 1, TU = 2x,…

A: Given data: The length of VT=7.6 in. The length of TU=4.3 in. ∠T=∠U The objective is to find the…

Q: In the figure shown, MN PQ is a rhombus. The length of MP is 10 cm and the length of NQ is 24 cm.…

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Q: Choose the correct answer below If two pieces of tape of the same width cross each other, what type…

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Q: D с B

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Q: 26 A a) Identify the segment bisector of AB. b) Find AB.

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Q: n a quadrilateral ABCD, AB=BD, BAD=70 degrees, BCD= 55 degrees and AD is parallel to BC. what is the…

A: This is a problem related to geometry.  Based on the formula and concepts for quadrilateral we will…

Q: You are given the square ABCD which has side length l=8.  Calculate the following dot products: i)…

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Q: In triangle ABC. AB = 7 and BC = 7 . Write the theorem that allows you to conclude that B is on the…

A: Consider the triangle ABC with AB=7 and BC=7. Since AB=BC=7, So the triangle ABC would be an…

Q: A landscaper wants to place a stone walkway from one corner of the rectangular lawn to the opposite…

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Q: Find the area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4). es 1) Q: А:…

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Q: 3) Find the indicated segments and angles in this square. a = 10 b = b C = e d = e =

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Q: 14 In the figure, AD BC, CB = CD, LABD 63,LADC =78 and 2CBD=x. a Find x. & Determine whether ABCD is…

A: We will solve the following.