# Answered: Which theorem would show that the two…

Hypotenuse Leg Theorem – HL Postulate – Two Column Proofs
Hypotenuse Leg Theorem – HL Postulate – Two Column Proofs

Elementary Geometry For College Students, 7e

7th Edition

ISBN: 9781337614085

Author: Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher: Cengage,

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Question

Which theorem would show that the two right

A. SAS Triangle Congruence Theorem

B. HL Triangle Congruence Theorem

C. ASA Triangle Congruence Theorem

D. AAS Triangle Congruence Theorem

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In Exercises 19 and 20, the triangles to be proved congruent have been redrawn separately. Congruent parts are marked. a Name an additional pair of parts that are congruent by using the mason Identity. b Considering the congruent parts, state the reason why the triangles must be congruent. MNPMQP

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In Exercises 19 and 20, the triangles to be proved congruent have been redrawn separately. Congruent parts are marked. a Name an additional pair of parts that are congruent by using the reason Identity. b Considering the congruent parts, state the reason why the triangles must be congruent. ABCAED

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5. With congruent parts marked, are the two triangles congruent? a ABC and DAC b RSM and WVM

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Construct a second isosceles triangle in which the base angles are half as large as the base angles of the given isosceles triangle.

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a. Suppose that you wish to prove that RSTSRV. Using the reason Identity, name one pair of corresponding parts that are congruent. b. Suppose you wish to prove that RWTSWV. Considering the figure, name one pair of corresponding angles of these triangles that must be congruent.

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Given: Regular hexagon ABCDEF with diagonal AC and exterior 1. Prove: m2+m3=m1

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In ABC and DEF, you know that AD, CF, and ABDE. Before concluding that the triangles are congruent by ASA, you need to show that BE. State the postulate or theorem that allows you to confirm this statement (BE).

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