   Chapter 2.4, Problem 31E ### 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
1 views

# Given: and intersect Prove: at ;   To determine

To prove:

PN

Explanation

Given:

MN¯ and PQ¯ intersect at k and MQ.

Figure (1)

Approach:

(1) The vertical angles formed by the intersection of two lines are congruent.

(2) If two angles of a triangle are congruent to the two angles of another triangle, the third angle is also congruent to each other.

Calculation:

The MKP and QKN are formed by intersection of lines MN¯ and PQ¯

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