Download Framework for Learning: Parallel Lines – Special Angle Pairs

Parallel Lines –
Special Angle Pairs
Framework for Learning:
Leader’s Name: ………………………………….
Co-Leader’s Name: ……………………………..
Instructor’s Initials: ………
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Getting Started:
Supply List: 3 straws; lined paper; protractor
Tape two straws on top of two horizontal lines on a sheet of notebook paper. Position a third straw
diagonally across the other two and secure the third straw with tape. Number the eight angles from 1 to
8. Measure the eight angles formed with a protractor. Record the angle measurements below.
m
1 = ______
m
2 = ______
m
3 = ______
m
4 = ______
m
5 = ______
m
6 = ______
m
7 = ______
m
8 = ______
Compare and contrast the angle measurements. Discuss your observations with a partner. Record a
summary of your discussion below.
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Working In It:
Log into UMATH X
From the menu on the left:
Hover over the Strand: Measurement & Geometry
Hover over Section 9: Angles and Polygons
Select and complete the Lessons: Parallel Lines
Examples with Parallel Lines
Example 1
Example 2
As you work through the lessons, complete the corresponding notes, table and diagram below.
Parallel lines are lines in the same ___________ that ____________ meet.
A ______________ is a straight line that cuts parallel lines.
Alternate Interior Angles are angles that form a(n) _____ pattern within a set of parallel lines cut by a
transversal. The two pairs of Alternate Interior Angles in the diagram are:
_____ and
_____ and
_____
_____.
Corresponding Angles are angles that form a(n) _____ pattern within a set of parallel lines cut be a
transversal. The four pairs of Corresponding Angles in the diagram are:
Opposite Angles are angles directly _______________ each other that are formed by intersecting lines.
Opposite angles are always ____________. The four pairs of Opposite Angles in the diagram are:
Label the angle measurements for all eight angles in the diagram on the previous page.
Reflect And Connect:
Identify all of the following angle pairs created by the parallel lines cut by the transversal that you
created in Getting Started.
Alternate Exterior Angles
Alternate Interior Angles
Corresponding Angles
Opposite Angles
Study the angle pairs in Getting Started and verify whether or not all of the special categories of angle
pairs formed by the parallel lines and the transversal are congruent. Discuss your findings with your
partner. If any of the angle pairs that were expected to be congruent were in fact not equal, hypothesize
why the angles were not congruent. Record a summary of your discussion below.
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