Parallel lines cut_by_a_transversalpptp
- 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 12 3 4 56 7 8
- 5. Parallel lines cut by a transversal 12 3 4 56 7 8 < 1 and < 2 are called SUPLEMENTARY ANGLES They form a straight angle measuring 180 degrees.
- 6. Parallel lines cut by a transversal 12 3 4 56 7 8 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
- 7. Parallel lines cut by a transversal 12 3 4 56 7 8 < 1 and < 3 are called VERTICAL ANGLES They are congruent m<1 = m<3
- 8. Parallel lines cut by a transversal 12 3 4 56 7 8 Name other vertical pairs: < 2 and < 4 < 6 and < 8 < 5 and < 7
- 9. Parallel lines cut by a transversal 12 3 4 56 7 8 < 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.
- 10. Parallel lines cut by a transversal 12 3 4 56 7 8 Name other corresponding pairs: < 2 and < 6 < 3 and < 7 < 4 and < 8
- 11. Parallel lines cut by a transversal 12 3 4 56 7 8 < 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.
- 12. Parallel lines cut by a transversal 12 3 4 56 7 8 Name other alternate interior pairs: < 3 and < 5
- 13. Parallel lines cut by a transversal 12 3 4 56 7 8 Name other alternate exterior pairs: < 2 and < 8 < 1 and < 7
- 14. TRY IT OUT 12 3 4 56 7 8 The m < 1 is 60 degrees. What is the m<2 ? 120 degrees
- 15. TRY IT OUT 12 3 4 56 7 8 The m < 1 is 60 degrees. What is the m<5 ? 60 degrees
- 16. TRY IT OUT 12 3 4 56 7 8 The m < 1 is 60 degrees. What is the m<3 ? 60 degrees
- 17. TRY IT OUT 60120 60 120 60120 60 120
- 18. TRY IT OUT x + 102x + 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
- 19. 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
- 20. WEBSITES FOR PRACTICE Ask Dr. Math: Corresponding /Alternate Angles Project Interactive: Parallel Lines cut by Transversal