Chapter 2.CR, Problem 35CR

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Given: B E ¯ ⊥ D A ¯ C D ¯ ⊥ D A ¯ Prove: ∠ 1 ≅ ∠ 2

To determine

To prove:

1 is congruent to 2.

Explanation

Given:

The given statement is,

BEÂ¯âŠ¥DAÂ¯ and CDÂ¯âŠ¥DAÂ¯

Figure (1)

Properties used:

(1) If two parallel lines are cut by a transversal, then the pairs of the alternate interior angles are congruent.

(2) If two lines are perpendicular to a same line, then the lines are parallel to each other.

Approach:

The given statement is,

BEÂ¯âŠ¥DAÂ¯ and CDÂ¯âŠ¥DAÂ¯

BEÂ¯ and CDÂ¯ both are perpendicular to the same line DA.

So,

BEÂ¯âˆ¥CDÂ¯

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