PROPERTIES OF
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P. A. R. A. L. L. E. L. P. L. A. N. E. S. I. L. N. E. S. A. N. D. PROPERTIES OF. PARALLEL LINES. Objectives:. 1. State and apply the postulates and theorems involving the properties of parallel lines; and. - PowerPoint PPT Presentation
Transcript of PROPERTIES OF
1. State and apply the postulates and theorems involving the properties of parallel lines; and
2. Solve algebraic and real life problems involving the properties of parallel lines.
m // e and cut by a transversal line l.
m
el
23 4
567 8
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Corresponding Angles Postulate
If two parallel lines are cut by a transversal, then the correspon-ding angles are congruent.
a
b12
3
Given: a ll bProve: 1 = 2
~1. a ll b
Statements:
PAI Theorem. If two parallel lines are cut by a transversal, then the alternate interior s are congruent.
4. 1 = 2
~3. 3 = 1
~2. 2 = 3~
Example:
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If h // d, m1 = 30 + x, m2 = 40, m3 = 2x - 100, find m1 and m3.
h
d
PAE Theorem. If two parallel lines are cut by transversal, thenthe alternate exterior angles are congruent.
a
b12
3
PSSI Theorem. If two parallel lines are cut by a transversal, then the same-side interior angles are supplementary.
a
b
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3
PSSE Theorem. If two parallel lines are cut by a transversal, then the same-side exterior angles are supplementary.
a
b
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Individual Practice:
Answer workbook exercise on p. 51-52 (20 points)
