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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

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

Given: l m and m n
Prove: 1 4
PROOF
Statements Reasons
1. l m 1. ?
2. 1 2 2.?
3. 2 3 3. ?
4. ? 4. Given
5. 3 4 5. ?
6. ? 6. ?

To determine

To check:

Whether 1 is congruent to 4 or not.

Explanation

Given:

The given statement is,

𝓁mandmn

Figure (1)

Properties used:

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

(2) Vertically opposite angles are congruent to each other.

Approach:

The proof of the given statement is shown in the following table:

Proof
Statements Reasons
1. 𝓁m 1. Given
2. 12 2. If two are cut by transversal, then the pair of corresponding s are congruent.
3. 23 3. Vertically opposite angles.
4. mn 4. Given
5. 34 5

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