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PARALLEL LINES CUT BY A TRANSVERSAL

PARALLEL LINES CUT BY A TRANSVERSAL. DEFINITIONS. PARALLEL TRANSVERSAL ANGLE VERTICAL ANGLE CORRESPONDING ANGLE ALTERNATE INTERIOR ANGLE ALTERNATE EXTERIOR ANGLE. DEFINITIONS. SUPPLEMENTARY ANGLE COMPLEMENTARY ANGLE CONGRUENT . Parallel lines cut by a transversal. 2. 1. 3. 4. 6.

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PARALLEL LINES CUT BY A TRANSVERSAL

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  1. PARALLEL LINES CUT BY A TRANSVERSAL

  2. DEFINITIONS • PARALLEL • TRANSVERSAL • ANGLE • VERTICAL ANGLE • CORRESPONDING ANGLE • ALTERNATE INTERIOR ANGLE • ALTERNATE EXTERIOR ANGLE

  3. DEFINITIONS • SUPPLEMENTARY ANGLE • COMPLEMENTARY ANGLE • CONGRUENT

  4. Parallel lines cut by a transversal 2 1 3 4 6 5 7 8

  5. Parallel lines cut by a transversal 2 1 3 4 6 5 7 8 < 1 and < 2are called SUPLEMENTARY ANGLES They form a straight angle measuring 180 degrees.

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

  7. Parallel lines cut by a transversal 2 1 3 4 6 5 7 8 < 1 and < 3are called VERTICAL ANGLES They are congruent m<1 = m<3

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

  9. Parallel lines cut by a transversal 2 1 3 4 6 5 7 8 < 1 and < 5are called CORRESPONDING ANGLES They are congruent m<1 = m<5 Corresponding angles occupy the same position on the top and bottom parallel lines.

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

  11. Parallel lines cut by a transversal 2 1 3 4 6 5 7 8 < 4 and < 6are 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.

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

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

  14. TRY IT OUT 2 1 3 4 6 5 7 8 The m < 1 is 60 degrees. What is the m<2 ? 120 degrees

  15. TRY IT OUT 2 1 3 4 6 5 7 8 The m < 1 is 60 degrees. What is the m<5 ? 60 degrees

  16. TRY IT OUT 2 1 3 4 6 5 7 8 The m < 1 is 60 degrees. What is the m<3 ? 60 degrees

  17. TRY IT OUT 120 60 60 120 120 60 60 120

  18. TRY IT OUT 2x + 20 x + 10 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

  19. TRY IT OUT 3x - 120 2x - 60 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

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

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