lesson 3-2 angles and parallel lines. ohio content standards:
DESCRIPTION
Formally define geometric figures.TRANSCRIPT
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Lesson 3-2Lesson 3-2Angles and Parallel LinesAngles and Parallel Lines
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Ohio Content Standards:
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Ohio Content Standards:
Formally define geometric figures.
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Ohio Content Standards:
Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines.
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Ohio Content Standards:
Recognize the angles formed and the relationship between the angles when two lines intersect and when parallel lines are
cut by a transversal.
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Postulate 3.1
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Postulate 3.1
Corresponding Angles PostulateIf two parallel lines are cut by
a transversal, then each pair of corresponding angles are
congruent.
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Postulate 3.1
Corresponding Angles PostulateIf two parallel lines are cut by
a transversal, then each pair of corresponding angles are
congruent.1
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Theorem 3.1
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Theorem 3.1
Alternate Interior Angles Theorem
If two parallel lines are cut by a transversal, then each pair of alternate interior angles are
congruent.
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Theorem 3.1
Alternate Interior Angles Theorem
If two parallel lines are cut by a transversal, then each pair of alternate interior angles are
congruent.3 4
5 6
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Theorem 3.2
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Theorem 3.2
Consecutive Interior Angles TheoremIf two parallel lines are cut by a
transversal, then each pair of consecutive interior angles is
supplementary.
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Theorem 3.2
Consecutive Interior Angles TheoremIf two parallel lines are cut by a
transversal, then each pair of consecutive interior angles is
supplementary.
3 4
5 6
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Theorem 3.3
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Theorem 3.3
Alternate Exterior Angles Theorem
If two parallel lines are cut by a transversal, then each pair of alternate exterior angles are
congruent.
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Theorem 3.3
Alternate Exterior Angles Theorem
If two parallel lines are cut by a transversal, then each pair of alternate exterior angles are
congruent.1 2
7 8
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Theorem 3.4
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Theorem 3.4
Perpendicular Transversal Theorem
In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
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Theorem 3.4
Perpendicular Transversal Theorem
In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.l
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Assignment:
Pgs. 136-138 14-34 evens, 48-58 evens