Download 3.2_Angles_and_Parallel_Lines_II_(HGEO)

Angles and Parallel
Lines II
Honors Geometry
Chapter 3, Section 2
Parallel Line Problems
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1. Find the measure of each numbered angle
in the figure below.
Given:
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Line GH is parallel to ray DK
Angle 6 = 75 degrees.
Angle 2 = 30 degrees.
Parallel Line Problems (cont’)
Parallel Line Problems (cont’)
Write a two-column proof for theorem 3.1:
If two parallel lines are but by a transversal,
then each pair of alternate interior angles
are congruent.
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HINT: use Postulate 3.1
HINT:
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Given : j ll k
Prove : 3  6 and 4  5
j
k
1 2
5 6
3 4