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Chapter 3: Q46. (page 115)

Write a two-column proof.

Given: RU炉鈭�ST炉; 鈭�R鈮�鈭�T.

Prove: RS炉鈭�UT炉.

Short Answer

Expert verified

RS炉鈭�UT炉

Step by step solution

01

Step 1. Consider the diagram.

Here, RU炉鈭�ST炉 and 鈭�R鈮�鈭�T.

02

Step 2. State the proof.

From the diagram and the information:

RU炉鈭�ST炉and US炉is transversal.

鈭�1鈮�鈭�2.

鈭�R鈮�鈭�Tand US炉is common to 螖URSand 螖UTS.

That implies, 鈭�3鈮�鈭�4.

That implies,RS炉鈭�UT炉

03

Step 3. State the conclusion.

Therefore, RS炉鈭�UT炉. (proved).

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