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Properties of Parallel Lines and Transversals

Properties of Parallel Lines and Transversals. Bell Work. Find the missing angles in the diagram and give reasons for your calculations using vocabulary terms. *These images are at the bottom of yesterday ’ s note sheet. Assignment Check. Supplementary angle Complementary angle

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Properties of Parallel Lines and Transversals

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  1. Properties of Parallel Lines and Transversals

  2. Bell Work Find the missing angles in the diagram and give reasons for your calculations using vocabulary terms. *These images are at the bottom of yesterday’s note sheet.

  3. Assignment Check • Supplementary angle • Complementary angle • Vertical angles • Adjacent angles • Angle bisector • Vertical angles • Adjacent Angles • Yes- they from the “x” across from each other • Yes- tick marks (shows congruence) • a) x = 5 <WXY = 28 b) <YXZ = 28 c) <WXZ = 56

  4. Assignment Check Continued • X = 9 <PQS = 54 • X = 14 <PQS = 50 • Pictures will vary

  5. Warm Up • Use the diagram at the right to determine x and y given that AB and CD are straight lines. • Name a pair of vertical angles. • Find the measure of <BOF. Justify your calculation.

  6. Assignment Check

  7. Learning Goal Today you will understand that when parallel lines are cut by a transversal, angle pairs are congruent or supplementary.

  8. Today will you need… • Vocabulary note sheet • Yesterday’s note sheet • Last night’s homework • Pencil

  9. Congruent or Supplementary? If m1 = 100, what are the measures of 2 through 8? m2 = m3 = m4 = m5 = m6 = m7 = m8 =

  10. Solve for the measure of each angle.

  11. Practice in Class

  12. Assignment Check • <1 = 137 2. m<1 = 45 (same side interior angles) <2 = 43 m<2 = 135 (supplementary angles/linear pair <3 = 137 <4 = 137 3. m<1 = 65 (supplementary/linear pair) <5 = 43m<2 = 115 (corresponding angles) <6 = 43 <7 = 137 4. m<1 = 105 same side interior angles

  13. In the diagram, bisects WXZ. a. Solve for x and find mWXY. b. Find mYXZ. c. Find mWXZ.

  14. Auxiliary Lines

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