   Chapter 3.2, Problem 5E ### 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
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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 ¯ 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. ∠1≅∠2 5. Definition of congruent triangles. 6. AB¯≅AB¯ 6

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