lesson 3-6 congruent angles. ohio content standards:
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Lesson 3-6Lesson 3-6
Congruent Angles
Ohio Content Standards:
Ohio Content Standards:
Formally define geometric figures.
Ohio Content Standards:
Recognize and apply angle relationships in situations involving
intersecting lines, perpendicular lines and parallel lines.
Congruent Angles
Congruent Angles
Angles that have the same degree measure.
Vertical Angles
Vertical AnglesTwo nonadjacent angles formed by a pair of intersecting lines.
Vertical AnglesTwo nonadjacent angles formed by a pair of intersecting lines.
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2
Theorem 3-1Vertical Angles Theorem
Theorem 3-1Vertical Angles Theorem
Vertical angles are congruent.
Theorem 3-1Vertical Angles Theorem
Vertical angles are congruent.
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2
Find the value of x in each figure.
Find the value of x in each figure.
x° 100°
Find the value of x in each figure.
75° (x – 18)°
Theorem 3-2
Theorem 3-2
If two angles are congruent, then their complements are
congruent.
Theorem 3-3
Theorem 3-3
If two angles are congruent, then their supplements are
congruent.
Theorem 3-4
Theorem 3-4If two angles are
complementary to the same angle, then they are
congruent.
Theorem 3-5
Theorem 3-5If two angles are
supplementary to the same angle, then they are
congruent.
Theorem 3-6
Theorem 3-6
If two angles are congruent and supplementary, then each
is a right angle.
Theorem 3-7
Theorem 3-7
All right angles are congruent.
A. ary tosupplement
is that anglean of measure theFind
47.Bm and BA Suppose
3.m and 1m Find 105. 2m
and 2, ary tosupplement is 3
2, ary tosupplement is 1 figure, In the
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HomeworkPgs. 126-127
9-21 all,
24-28 all
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