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

Q: 3. Using only the indicated markings, which theorem justifies a conclusion that the triangles are…

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Q: Choose the letter that matches the additional information needed in order to use AAS to prove the…

A: we will find the required condition.

Q: For another proof of the Pythagorean theorem, consider a right triangle ABC (with right angle at C)…

A: Since, according to our guideline we have to answer only first question. I am answering first one.…

Q: Given: AABC is an isosceles triangle with vertex angle, ZB. ZA ZE ZBCALDCE BC DC Prove: C is the…

A:

Q: Consider the following quadrilateral with diagonal AC and from which it is known that AB || CD and…

A: Given that AB∥CD , AD∥BC AC is diagonal  Now, we know that ∠A+∠B+∠C+∠D=360° ∠A+∠B=180° ∠D+∠C=180°…

Q: Drag the postulate or theorenm that proves the triangles are congruent. b AOKR AAHR a. ATSU AXVW…

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Q: For the given picture, point C is the midpoint of AD and BE. Which postulate can be used to prove…

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Q: What additional information is needed in order to prove that the triangles are congruent by the ASA…

A: Given,

Q: Which additional piece of information would be needed to prove that these triangles are congruent…

A:

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: A (5х + 7) ст - (4у — 18)° (бх — 1) ст (Зу + 2)° В (4y)° (бх + 2) ст

A:

Q: In the accompanying diagram of AABC, AB = AC, BD = BA, and CE = CA. Triangle EBC can be proved…

A: Given : AB ≅ ACBD = 13BACE = 13CA

Q: Here is rectangle ABCD, with AD 8 and CD 6. 6. C. The length of AC is (This is a perfect square, so…

A: We can find the answer for AC as below

Q: Name the postulate you would use to prove the triangles congruent. 1. E 2. K F M

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Given AABC, a second triangle (AXTN) is constructed so that ZX = LA and ZN = ZC. a) Is ZT congruent…

A: ∠X≅∠A ∠N≅∠C

Q: Are the triangles similar? If so, by which theorem? O Yes, similar by SAS Yes, Similar by SSs O Yes,…

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Q: Note: Exercises preceded by an asterisk are of a more challenging nature For Exercises 1 to 10, use…

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

Q: Given a triangle ABC with points D. E. and Fas midooints of sides AC AB, and BC respectively. If AB…

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Q: E H. en that EH=5, what is the length of HF?

A:

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: What information is missing from HL theorem? 3. What additional information can be used to prove the…

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Q: A Y B C

A: Given two triangles ABC and XYZ

Q: Drag the postulate or theorem that proves the triangles are congruent. b. AOKR e AAHR C. AZWX EAYXW…

A: Solution of all three parts are given .

Q: Based on the information given in the diagram, can you prove ABCD is a parallelogram C A O Yes, one…

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Q: If P is the orthocenter of ABC, AB = 13, BF = 9, and FC = 5.6, find the perimeter of AABC. E F C The…

A: Given: The triangle ABC with BF as altitude and AB=13,BF=9,FC=5.6 To find: The perimeter of triangle…

Q: 33) In quadrilateral RSTU, Es I ST and ŪT I diasgned If RS =6,ST = 8, and 12U = 15, find UT %3D

A: We can easily solve this problem by using Pythagoras Theorem in both the triangles (one by one).

Q: Which method can be used to prove that the triangles are congruent? O SAS O ASA o Not possible with…

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Q: The diagonals of quadrilateral ABCD intersect at E. If EC = 4, BD = 12, AE = x, and BE = y, what…

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Q: ABCD is a quadrilateral with AB equal and parallel to DC. Prove that AD is equal and parallel to BC.…

A: I hope you are asking for question 6. We solve the given problem using congruent triangles. SAS…

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

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Q: Which postulate would prove the triangles congruent? R V U SS AAS ASA SAS

A: Correct Answer: (D) SAS Postulate

Q: Given that AB = AC in triangle ABC, use intuition to draw a conclusion regarding mZABC and mZACB. A…

A: Given that, in the triangle ABC, AB=AC

Q: where ABC is an isosceles triangle in which AB = AC. P is any point in the interior of AABC such…

A: Given:    AB = AC   <ABP = <ACP

Q: What additional information would allow you to safely conclude that the quadrilateral below is a…

A: Given

Q: Suppose AABC is a triangle in the Euclidean plane and D is the point such that B*C*D and AD bisects…

A: Given:  AB=9AC=6CD=12 B*C*D means points B, C, Dare distinct and they lie on the same line.  B*C*D…

Q: Which postulate proves these two triangles are congruent? A. HL B. SSA C. ASA D. None, not congruent

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Q: the accompanying figure, ABCD is a trapezoid in which AD||BC and AD> BC. Prove that if AB CD, then…

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Q: B E D Which pair of triangles can be established to be congruent to prove that 2DAB = ¿BCD?

A: Two triangle are said to be similar by side Angle side method

Q: Given quadrilateral ABCD is a rhombus and MZABD= 32°, find the measure of each numbered angle below.…

A: since the diagonals of a rhombus intersect at right    angles ∠2=90°…

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

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Q: What additional information would allow you to safely conclude that the quadrilateral below is a…

A: Given

Q: Quadrilateral ABCD with BA I AD and BC 1 DC Zs B and D are Given: A Prove: supplementary

A: Two angles are said to supplementary if their sum is equal to 180∘. Given that, In quadrilateral…

Q: In the figure, quadrilateral ABCD is inscribed in O0. Also, CF 1 BD. a) Explain why AABE ~ ADFC. b)…

A: According to AA property of similarity, if two corresponding angles are congruent in two triangles,…

Q: Which of the following is not a valid reason to prove congruent triangles? O SAS O AAS O SSA O SSS

A: Concept used: The two triangles are congruent by the following rule of congruency. SAS…

Q: Which postulate proves these two triangles are congruent? A. HL B. SSA C. SAS D. None, not congruent

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Q: Type SSS, SAS, ASA, SAA, or HL to justify why the two larger triangles are congruent. C A AC = EC AB…

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Q: Given triangle ABC whose sides are AB = 15 in, AC = 25 in and BC = 30 in. From a point of side AB, a…

A: The solution of the problem is given in the next step.

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: Given: AC=FD AB FE BC=ED Prove:AABC=AFED Statement Reason

A: Solution:-   yes you are correct, if all three sides are equal then  triangle is congruent by SSS…

Q: Proof must be a paragraph proof   Thanks

A: