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PARALLEL LINES CUT BY A TRANSVERSAL DEFINITIONS PARALLEL TRANSVERSAL ANGLE VERTICAL ANGLE CORRESPONDING ANGLE ALTERNATE INTERIOR ANGLE ALTERNATE EXTERIOR.

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Presentation on theme: "PARALLEL LINES CUT BY A TRANSVERSAL DEFINITIONS PARALLEL TRANSVERSAL ANGLE VERTICAL ANGLE CORRESPONDING ANGLE ALTERNATE INTERIOR ANGLE ALTERNATE EXTERIOR."— Presentation transcript:

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2 PARALLEL LINES CUT BY A TRANSVERSAL

3 DEFINITIONS PARALLEL TRANSVERSAL ANGLE VERTICAL ANGLE CORRESPONDING ANGLE ALTERNATE INTERIOR ANGLE ALTERNATE EXTERIOR ANGLE

4 DEFINITIONS SUPPLEMENTARY ANGLE COMPLEMENTARY ANGLE CONGRUENT

5 Parallel lines cut by a transversal

6 < 1 and < 2 are called SUPLEMENTARY ANGLES They form a straight angle measuring 180 degrees.

7 Parallel lines cut by a transversal Name other supplementary pairs: < 2 and < 3 < 3 and < 4 < 4 and < 1 < 5 and < 6 < 6 and < 7 < 7 and < 8 < 8 and < 5

8 Parallel lines cut by a transversal < 1 and < 3 are called VERTICAL ANGLES They are congruent m<1 = m<3

9 Parallel lines cut by a transversal Name other vertical pairs: < 2 and < 4 < 6 and < 8 < 5 and < 7

10 Parallel lines cut by a transversal < 1 and < 5 are called CORRESPONDING ANGLES They are congruent m<1 = m<5 Corresponding angles occupy the same position on the top and bottom parallel lines.

11 Parallel lines cut by a transversal Name other corresponding pairs: < 2 and < 6 < 3 and < 7 < 4 and < 8

12 Parallel lines cut by a transversal < 4 and < 6 are called ALTERNATE INTERIOR ANGLES They are congruent m<4 = m<6 Alternate Interior on on the inside of the two parallel lines and on opposite sides of the transversal.

13 Parallel lines cut by a transversal Name other alternate interior pairs: < 3 and < 5

14 Parallel lines cut by a transversal Name other alternate exterior pairs: < 2 and < 8 < 1 and < 7

15 TRY IT OUT The m < 1 is 60 degrees. What is the m<2 ? 120 degrees

16 TRY IT OUT The m < 1 is 60 degrees. What is the m<5 ? 60 degrees

17 TRY IT OUT The m < 1 is 60 degrees. What is the m<3 ? 60 degrees

18 TRY IT OUT

19 TRY IT OUT x x + 20 What do you know about the angles? Write the equation. Solve for x. SUPPLEMENTARY 2x x + 10 = 180 3x + 30 = 180 3x = 150 x = 30

20 TRY IT OUT 2x x What do you know about the angles? Write the equation. Solve for x. ALTERNATE INTERIOR 3x = 2x - 60 x = 60 Subtract 2x from both sides Add 120 to both sides

21 WEBSITES FOR PRACTICE Ask Dr. Math: Corresponding /Alternate Angles Project Interactive: Parallel Lines cut by Transversal


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