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PARALLEL LINES CUT BY A TRANSVERSAL

PARALLEL LINES CUT BY A TRANSVERSAL. Monday, April 11, 2011. M8G1- Understand & Apply the Properties of parallel and Perpendicular lines and understand meaning of Congruence. Draw this picture 10 times. 2. 1. 3. 4. 6. 5. 8. 7. DEFINITIONS. PARALLEL TRANSVERSAL ANGLE VERTICAL ANGLE

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PARALLEL LINES CUT BY A TRANSVERSAL

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  1. PARALLEL LINES CUT BY A TRANSVERSAL

  2. Monday, April 11, 2011 • M8G1- Understand & Apply the Properties of parallel and Perpendicular lines and understand meaning of Congruence. • Draw this picture 10 times. 2 1 3 4 6 5 8 7

  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 2 1 3 4 6 5 7 8

  6. 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.

  7. 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

  8. 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

  9. 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

  10. 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.

  11. 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

  12. 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.

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

  14. 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:

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

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

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

  18. TRY IT OUT 120 60 60 120 120 60 60 120

  19. 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 = 50

  20. TRY IT OUT 4x - 120 3x - 70 What do you know about the angles? Write the equation. Solve for x. What is the measure of the angles? ALTERNATE INTERIOR 4x - 120 = 3x - 70 x = 50 Subtract 3x 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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