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

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