   Chapter 3.2, Problem 12E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: ∠ R and ∠ V are right ∠ s R T ¯ ≅ V T ¯ Prove: Δ R S T ≅ Δ V S T

To determine

To prove:

The given statement.

Explanation

Given:

The following figure shows the given diagram.

Given that,

R and V are right s and,

RT¯VT¯.

Approach:

By definition of hypotenuse leg congruency (HL), if two triangles have corresponding sides that are then triangle will be congruent.

The completed proof is shown in the following table.

 Proof Statements Reasons 1. ∠R and ∠V are right ∠s 1. Given 2. RT¯≅VT¯ 2. Given 3. ST¯≅ST¯ 3

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