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Properties of Parallel Lines and Transversals PowerPoint PPT Presentation

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

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

• Vertical angles

• Angle bisector

• Vertical 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

• X = 9 <PQS = 54

• X = 14<PQS = 50

• Pictures will vary

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

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

Today will you need…

• Vocabulary note sheet

• Yesterday’s note sheet

• Last night’s homework

• Pencil

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 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

• In the diagram, bisects WXZ.

a. Solve for x and find mWXY.

b. Find mYXZ.

c. Find mWXZ.