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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Properties of Parallel Lines and Transversals

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Properties of parallel lines and transversals

Properties of Parallel Lines and Transversals


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.


Assignment check1

Assignment Check


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 =


Solve for the measure of each angle

Solve for the measure of each angle.


Practice in class

Practice in Class


Assignment check2

Assignment Check

  • <1 = 1372. m<1 = 45 (same side interior angles)

    <2 = 43m<2 = 135 (supplementary angles/linear pair

    <3 = 137

    <4 = 1373. m<1 = 65 (supplementary/linear pair)

    <5 = 43m<2 = 115 (corresponding angles)

    <6 = 43

    <7 = 1374. 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.


Auxiliary lines

Auxiliary Lines


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