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MATHEMATICS OBJECTIVE
Students will be able to:
Identify relationships between angles formed by parallel lines and a transversal.
Determine the measures of angles formed by parallel lines and a transversal.
Reason about parallel lines.
ESSENTIAL UNDERSTANDING
Corresponding angles and alternate interior angles formed by parallel lines and a transversal are congruent. Same-side interior angles are supplementary.
I can determine congruent and supplementary angle pairs when parallel lines are intersected.
I can find missing angle measures when parallel lines are intersected.
ANGLE RELATIONSHIPS
If parallel lines are intersected by a transversal, then:
- Corresponding angles are congruent.
- Alternate interior angles are congruent.
- Same-side interior angles are supplementary.
DIAGRAM DESCRIPTION
Two horizontal parallel lines are intersected by a slanted transversal.
The angles at the top intersection are labeled 1, 2, 3, and 4; those at the
bottom intersection are labeled 5, 6, 7, and 8.
- Angles 1 and 5 are corresponding angles; they are congruent.
- Angles 6 and 4 are alternate interior angles; they are congruent.
- Angles 4 and 5 are same-side interior angles; their measures total 180°.
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