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Use Parallel Lines and Transversals

Use Parallel Lines and Transversals. 3.2. Essential Question. How are corresponding angles and alternate interior angles related for two parallel lines and a transversal? M11.B.2.1,M11.B.2.2, M11.C.1.2, M11.C.3.11. More Postulates and Theorems.

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Use Parallel Lines and Transversals

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  1. Use Parallel Lines and Transversals 3.2

  2. Essential Question • How are corresponding angles and alternate interior angles related for two parallel lines and a transversal? • M11.B.2.1,M11.B.2.2, M11.C.1.2, M11.C.3.11

  3. More Postulates and Theorems

  4. Which angle pairs have the same angle measure by the Corresponding Angle Postulate? <a & <e, <b & <f, <c & <g, <d & <h b a c d e f g h

  5. What angle pairs are congruent according to the Alternate Interior Angles Theorem? <c & <f, <d & <e b a c d e f g h

  6. Which angle pairs are congruent according to the Alternate Exterior Angle Theorem? <a & <h, <b & <g b a c d e f g h

  7. Which angle pairs are supplementary according to the Consecutive Interior Angles Theorem? <c & <e, <d & <f b a c d e f g h

  8. How can you find the value for x? 3x - 10 3x – 10 = 140 3x = 150 x = 50 140˚

  9. 10x 40˚

  10. 9x + 10 64˚

  11. How would you find the value for x? By the Consecutive Interior Angles Theorem we know that the sum of these angles is 180. 113˚ 113 + 2x – 25 = 180 2x + 88 = 180 2x - 25 67˚ 2x = 92 x = 46

  12. How would you find the value for x? 3x + 2˚ Consecutive Interior Angles 3x + 2 + x + 2 = 180 4x + 4 = 180 4x = 176 x = 44 x + 2˚

  13. The 6y˚ angle and the 3y˚ angle are Consecutive Interior angles so we know they are supplementary, so their sum is 180˚ The 90˚ angle and the 2x˚ angle are Consecutive Interior angles so we know they are supplementary, so their sum is 180˚ 3y 6y + 3y = 180 90 + 2x = 180 6y 9y = 180 2x = 90 y = 20 x = 45 2x

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