In the figure, quadrilateral ABCD is inscribed in O0. Also, CF 1 BD. a) Explain why AABE ~ ADFC. b) Explain why ZDAB and ZBCD are supplementary. B

Q: Let ABCD be a cyclic quadrilateral as shown in figure. Determine the area if EA = 160 cm, ED = 240…

A: Given that, EA = 160 cm ED = 240 cm EC = 450 cm θ = 32°27”58”

Q: Si adi Lauren made the plan shown for proving that quadrilateral ABCD with AB = CD and BC = DA is a…

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Q: If A ABC S A DEF, and mZA = (x + 30)°, m2C = 45°, and mzD = %3D 80°, what is themZA? (Hint: Sketch…

A: The question mentions that △ABC≅△DEF. The measure of angles of two triangles is given as,…

Q: Prove if a quadrilateral ABCD is cyclic, then its opposite angles are supplementary.

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Write a two-column proof to show that opposite sides are congruent in a parallelogram. Given:…

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Q: In the accompanying diagram of triangles BAT and FLU, LB LF and BA = FL. Which statement is needed…

A: Given: ∠B≅∠F and BA ≅FL

Q: 7. Name the postulate, if possible, that makes the triangles congruent. B D

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Q: Given: Equilateral AABC with each side of length s Prove: AABC V3 4

A: We know, the area of a triangle with sides a,b,c and semi perimeter s=a+b+c2 by using Heron's…

Q: If a quadrilateral has EXACTLY 3 congruent sides and the 4th side is parallel to one of the other…

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Q: Which congruence theorem proves that the following two triangles are congruent? O SSS Congruence O…

A: Two similar triangles given, we have to find its congruence law

Q: he figure shows the net of the three-dimensional package for a board game. TI et is made of four…

A: Introduction: The most well-known and simplest formula, which almost everyone remembers from school,…

Q: In triangle FIX, TT'is the perpendicular bisector of FX. Prove that the two triangles formed by the…

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Q: 11. ABCD is a quadrilateral such that if sides AB and CD are extended they will meet at a right…

A: Solution: Consider the given quadrilateral ABCD and assuming line AB and CD extended and create a…

Q: Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that AADW = ACDZ.…

A: For the given Kite A B C D and Isosceles trapezoid W X Y Z  It is given that  AC is parallel to W Z…

Q: a) Is it really necessary to construct all three bisectors of the angles of a triangle to locate its…

A: Given: a)  Is it really necessary to construct all three bisectors of the angles of a triangle to…

Q: Are quadrilaterals ABCD and EFGH congruent if: a) AB = EF, LB = LF, BC = FG, and LC = ZG? b) ZA =…

A: To check the quadrilaterals are congruent.

Q: 10. In isosceles AABC shown below, AC is congruent to BC as shown. Side AC has been extended through…

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Q: Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are…

A: We need to prove the property.

Q: Determine which congruence method can be used to prove that the given triangles are congruent. OHA О…

A: (1) Both triangles have a common hypotenuse and both are right-angled triangles. Given one side is…

Q: Which two triangles are congruent by the SAS Theorem? Complete the congruence statement. Q Y W R.

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Q: Determine whether the 2 triangles are congruent by the HL method. If so, complete the congruence…

A: Congruence of triangle : The two triangle is said to be congruent if the corresponding sides of the…

Q: 10. Given: AE bisects BD, LA = ZE Prove: AABC = AEDC tements Reasons bisects BD,

A: Solve the following

Q: 2. Given that ST bisects zs, which must you use to determine that the triangles below are congruent?…

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Q: Does a version of SSS congruence apply to quadrilaterals? Complete the example to support your…

A: Solution:- SSS congruence does not apply to Quadrilaterals. That is, if three sides of one…

Q: A quadrilateral that is equiangular, but is not equilateral, must be a - (Give the strongest…

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Q: Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that AADW ACDZ. х.…

A: Kite ABCD and isosceles trapezoidal WXYZ. WD ≅DZ XB≅BY

Q: In Exercises 29 to 35, complete a formal proof. 29. The diagonals of an isosceles trapezoid are…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Prove that if P is the perimeter of a Pythagorean Triangle with integral sides a, b and c, then P…

A: We have to prove that P divides ab.

Q: Which congruence theorem proves that the following two triangles are congruent? AT O SAS Congruence…

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

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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: キ В E F

A: The congruent pair of sides are as follows  AB≅DEBC≅EFAC≅DF

Q: A kite is a quadrilateral with two pairs of adjacent congruent sides. O True O False

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Q: In the accompanying diagram, AABC is not isosceles. Prove that if altitude BD were drawn, it would…

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Q: Given Square ABCD and EDC = ZECD, prove AABE is equilateral.

A: So, ABCD is a square,  angle EDC and ECD are equal, (let them be x), i.e. E is exactly lies on the…

Q: Are these triangles similar? If so, which theorem can be used to prove 55° STH-GFH 550 G Submit

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Q: Which two triangles are congruent by the AAS Theorem? Complete the congruence statement. H.

A: Given problem:-

Q: In the accompanying diagram, quadrilateral ABCD is inscribed in circle O. mAB=132°, m

A: Given:

Q: The perimeter of AABC is Type an exact answer, using

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Q: Which congruence theorem proves that the following two triangles are congruent? O ASA Congruence AAS…

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Q: In the accompanying diagram of AABC, AB = 6, BC = 8, and AC = 12. Point X, Y, and Z are midpoints of…

A: Solve the following

Q: In the quadrilateral ABCD, BC = BA and CD> AD; prove that ZBAD> ZBCD.

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Q: What additional information would be necessary to prove that the two triangles, rXBY and rZAY, are…

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Q: These figures are congruent. What is mZA?

A: Given,           The figures are congruent.

Q: In Exercises 31 to 34, suppose that BC is the base of isosceles ДАВС (пot shown). 31. Find the…

A: NOTE- AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS IN EACH SESSION SO, I HAVE ANSWERED FIRST THREE FOR…

Q: GIVEN: Isosceles AABC, with AB = BC BD bisects ZABC (See Figure 3.29.) PROVE: AABD = ACBD

A: Given: ABC is an isosceles triangle. AB≅BC BD bisects ∠ABC. To prove: △ABD≅△CBD

Q: Given an isosceles, but not equilateral, triangle AABC with AB = AC, write down all congruences from…

A: It is given that triangle ABC is an isosceles triangle with AB¯≅AC¯. Construct an altitude BD¯ in…

Q: Proof must be a paragraph proof   Thanks

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Q: Given a cyclic quadrilateral whose sides are 4 cm, 5 cm, 8 cm, and 11 cm, its area is?

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Q: GIVEN: Quadrilateral ABCD with AC 1 BD [See Figure 8.24(a).]; AC d, and BD = d2. PROVE: AABCD =…

A: Given that, in quadrilateral ABCD, AC is perpendicular to BD. AC = d_1  BD = d_2 Let AE = h Then, CE…