1 / 20

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.

garin
Download Presentation

PARALLEL LINES CUT BY A TRANSVERSAL

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related