Properties of Parallel Lines and Transversals

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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

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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 = 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

In the diagram, bisects WXZ.

a. Solve for x and find mWXY.

b. Find mYXZ.

c. Find mWXZ.