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Published byNya Makinson Modified over 2 years ago

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PARALLEL LINES CUT BY A TRANSVERSAL

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

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DEFINITIONS SUPPLEMENTARY ANGLE COMPLEMENTARY ANGLE CONGRUENT

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Parallel lines cut by a transversal 12 34 5 6 78

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12 34 5 6 78 < 1 and < 2 are called SUPLEMENTARY ANGLES They form a straight angle measuring 180 degrees.

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Parallel lines cut by a transversal 12 34 5 6 78 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

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Parallel lines cut by a transversal 12 34 5 6 78 < 1 and < 3 are called VERTICAL ANGLES They are congruent m<1 = m<3

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Parallel lines cut by a transversal 12 34 5 6 78 Name other vertical pairs: < 2 and < 4 < 6 and < 8 < 5 and < 7

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Parallel lines cut by a transversal 12 34 5 6 78 < 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.

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Parallel lines cut by a transversal 12 34 5 6 78 Name other corresponding pairs: < 2 and < 6 < 3 and < 7 < 4 and < 8

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Parallel lines cut by a transversal 12 34 5 6 78 < 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.

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Parallel lines cut by a transversal 12 34 5 6 78 Name other alternate interior pairs: < 3 and < 5

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Parallel lines cut by a transversal 12 34 5 6 78 Name other alternate exterior pairs: < 2 and < 8 < 1 and < 7

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TRY IT OUT 12 34 5 6 78 The m < 1 is 60 degrees. What is the m<2 ? 120 degrees

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TRY IT OUT 12 34 5 6 78 The m < 1 is 60 degrees. What is the m<5 ? 60 degrees

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TRY IT OUT 12 34 5 6 78 The m < 1 is 60 degrees. What is the m<3 ? 60 degrees

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TRY IT OUT 60120 60 120 60 120 60120

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

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

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

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