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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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Given: r s
Transversal t
1 is a right
Prove: 2 is a right
Chapter 2.1, Problem 23E, Given: rs Transversal t 1 is a right  Prove: 2 is a right

To determine

To prove:

2 is a right angle.

Explanation

Given:

The given statement is,

rs, transversal t.

1 is a right angle.

Figure (1)

Properties used:

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

(2) If any angle is congruent to a right angle, then that angle itself will be a right angle.

Approach:

The given information is,

rs, transversal t

1 and 2 are corresponding angles.

So,

12

1 is a right angle.

1 and 2 are congruent angles

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