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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: 1 and 2 are right s
C A ¯ D A ¯
Chapter 3.2, Problem 5E, In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: 1 and 2 are right
Prove: Δ A B C Δ A B D

To determine

To prove:

The given statement.

Explanation

Given:

The following figure shows the given diagram.

Given that,

1 and 2 are right s and CA¯DA¯.

Two right triangles will be congruent if the hypotenuse and corresponding lag are equal in both triangles.

Approach:

The completed proof is shown in the following table.

Proof
Statements Reasons
1. 1 and 2 are right s 1. Given
2. CA¯DA¯ 2. Given
3. 1=90° 3. Definition of right angle.
4. 2=90° 4. Definition of right angle.
5. 12 5. Definition of congruent triangles.
6. AB¯AB¯ 6

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