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2.7: Construction: Parallel Lines

Difficulty Level: At Grade Created by: CK-12

Learning Objectives

• To construct a line parallel to a given line through a given point.

Construction – Parallel Through a Point

At this point, you are using the same steps you used to copy an angle. You are copying the angle at the bottom of the picture and making the same angle at the top of the picture. When you do this, you are constructing congruent corresponding angles.

1. Look at the last picture in the table above. Which type of congruent angles do you construct when you construct parallel lines?

a) Corresponding angles

b) Alternate interior angles

c) Alternate exterior angles

d) Vertical angles

2. Fill in the blank: Maria is performing the construction in the picture below. She is constructing a line parallel to line ________ through point _________.

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