Lesson 3-6 Congruent Angles. Ohio Content Standards:

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Presentation transcript:

Lesson 3-6 Congruent Angles

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

Angles that have the same degree measure.

Vertical Angles

Two nonadjacent angles formed by a pair of intersecting lines.

Vertical Angles Two nonadjacent angles formed by a pair of intersecting lines

Theorem 3-1 Vertical Angles Theorem

Vertical angles are congruent.

Theorem 3-1 Vertical Angles Theorem Vertical angles are congruent

Find the value of x in each figure.

x°x°100°

Find the value of x in each figure. 75°(x – 18)°

Theorem 3-2

If two angles are congruent, then their complements are congruent.

Theorem 3-3

If two angles are congruent, then their supplements are congruent.

Theorem 3-4

If two angles are complementary to the same angle, then they are congruent.

Theorem 3-5

If two angles are supplementary to the same angle, then they are congruent.

Theorem 3-6

If two angles are congruent and supplementary, then each is a right angle.

Theorem 3-7

All right angles are congruent.

1 3 2

Homework Pgs all, all