Properties of parallel lines and transversals
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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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Bell work
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
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


Assignment check continued
Assignment Check Continued

  • X = 9 <PQS = 54

  • X = 14 <PQS = 50

  • Pictures will vary


Warm up
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.



Learning goal
Learning Goal

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


Today will you need
Today will you need…

  • Vocabulary note sheet

  • Yesterday’s note sheet

  • Last night’s homework

  • Pencil


Congruent or supplementary
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 =




Assignment check2
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


Properties of parallel lines and transversals

  • In the diagram, bisects WXZ.

    a. Solve for x and find mWXY.

    b. Find mYXZ.

    c. Find mWXZ.