Classify as true or false: a) If points P and Q lie in the interior of LABC, then PQ lies in the interior of LABC. b) If points P and Q lie in the interior of LABC, then PQ lies in the interior of LABC. c) If points P and Q lie in the interior of LABC, then PQ lies in the interior of ZABC.

Q: Find the measures of the angles between the diago-nals of the rectangle whose vertices are A = (1,…

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Q: 2. Use the image to answer the questions. a. Are the two triangles congruent? If so, complete the…

A: The solution is given below. .

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

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Q: 1. Prove that the sum of the interior angles of triangle ABC is 180 degrees C B.

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Q: State the theorem that proves that the pair of triangles are congruent. 2. 1. 3. 4. 5.

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Q: If a four-sided figure has four congruent sides, then it has four right angles.

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Q: GIVEN: ARST [Figure 5.24(a)] with sides a, b, and c so that c2 = a² + b? PROVE: ARST is a right…

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Q: 1. What is the measure of one interior angle of a regular 12-gon?

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Q: In this diagram, A ABC ~ A EDC. B D E Which is the best strategy for proving that AB and DE are…

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A: Solution - In ∆PAR, m∠P = (6x+4)°m∠A = (2x-15)°m∠R = (4x-1)°In a triangle the sum of all the…

Q: Are the given triangles congruent by the HL Theorem? Explain. A

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

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Q: What property could you use to show that triangles ACT and ODG are congruent?

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Q: Prove that if a triangle has two congruent angles, then it is isosceles.

A: Triangle with two equal sides is called anisoceles triangle.To prove: If a triangle has two…

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Q: In Exercises 33 to 36, draw and label a well-placed figure in the coordinate system for each…

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Q: given the regular decagon (10 sided polygon) pictured below, which statements are true?

A: We have to find the symmetry.

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Q: In the diagram, ABCD is a square with four congruent sides and four right angles. R, S, T, and U are…

A: Consider the given figure.

Q: 4. If C, P, and T' are the midpoints of the sides of AAEN, PT = 13, EN = 43, and CP = 29, find each…

A: In the given figure- PT =13, EN = 43, and CP = 29 To find- AE =? AN =? CT =? Perimeter of ∆AEN =?

Q: Decide which method, SAS, ASA, AAS, or HL, can be used to prove that the triangles are congruent.

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Q: The sum of the measures of the interior angles of any quadrilateral is exactly 360°. O True O False

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Q: Prove that angle B is congruent to C and angle BAD is congruent to D.

A: Solution is attached below

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

A: Please refer to the image below

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Q: 1) If the measure of each interior angle of a regular is 171, find the number of sides of the…

A: Here We will use the formula Interior angle of regular polygon = (180°(n)-360°)/n here Interior…

Q: In an isosceles trapezoid, each pair of base angles is congruent. True O False

A: An isosceles trapezium is a trapezium in which the non-parallel sides are equal in length.