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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercise 5 to 12, plan and write the two-column proof for each problem.

Given: R and V are right s .
1 2
Chapter 3.2, Problem 9E, In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: R and V are right
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.

12

Approach:

By the definition of AAS, triangles will be congruent if two angles and non including side of one triangle are congruent to two angles and non including side of second triangle then both triangle must be congruent.

The completed proof is shown in the following table.

Proof
Statements Reasons
1. R and V are right s and 12 1. Given
2. RV 2. All right angles are
3. ST¯ST¯ 3

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