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Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
1. Parallel Lines and Transversals
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Exercise 6 Page 108

What can you notice about the measures of the angles created by the intersection of the lines?

Yes, lines a and b are parallel.

Practice makes perfect

We want to determine whether lines a and b are parallel. Let's take a look at the given graph.

Graph with protractor

We will use a protractor to measure the angles created by the transversal t. Let's start with line a.

Graph with protractor

The measure of the angle formed by the intersection of lines a and t is 60^(∘). Let's do the same for line b.

Graph with protractor

The measure of the angle formed by the intersection of lines b and t is also 60^(∘).

Graph with protractor
We can see that the measures of the corresponding angles formed by both intersections are equal. This means that lines a and b are parallel.

Extra

 Types of Angle Pairs

Let's review what we know about different types of angle pairs. We will use the graph below as an example.

Now let's take a look at the different types of angle pairs and their definitions.

Pairs of Angles
Type Definition Example
Supplementary Angles Together, they form a straight line and their measures add up to 180^(∘). ∠ 1 and ∠ 3
Vertical Angles They lie on the opposite sides of the point of intersection of two lines. ∠ 1 and ∠ 4
Corresponding Angles They lie in corresponding positions on the same side of the transversal. ∠ 3 and ∠ 7
Alternate Interior Angles They lie between the two lines on opposite sides of the transversal. ∠ 4 and ∠ 5
Alternate Exterior Angles They lie outside the two lines on opposite sides of the transversal. ∠ 2 and ∠ 7
Subchapter links expand_more
arrow_right Try It p.104-106
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Try It 2 (Page 104)
Try It 3 (Page 105)
Try It 4 (Page 106)
Try It 5 (Page 106)
Try It 6 (Page 106)
arrow_right Self-Assessment for Concepts & Skills p.106
Self-Assessment for Concepts & Skills 7 (Page 106)
Self-Assessment for Concepts & Skills 8 (Page 106)
Self-Assessment for Concepts & Skills 9 (Page 106)
arrow_right Self-Assessment for Problem Solving p.107
Self-Assessment for Problem Solving 10 (Page 107)
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arrow_right Review & Refresh p.108
Review & Refresh 1 (Page 108)
Review & Refresh 2 (Page 108)
Review & Refresh 3 (Page 108)
Review & Refresh 4 (Page 108)
Review & Refresh 5 (Page 108)
arrow_right Concepts, Skills, & Problem Solving p.108-110
Concepts, Skills, & Problem Solving 6 (Page 108)
Concepts, Skills, & Problem Solving 7 (Page 108)
Concepts, Skills, & Problem Solving 8 (Page 108)
Concepts, Skills, & Problem Solving 9 (Page 108)
Concepts, Skills, & Problem Solving 10 (Page 108)
Concepts, Skills, & Problem Solving 11 (Page 108)
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Concepts, Skills, & Problem Solving 14 (Page 109)
Concepts, Skills, & Problem Solving 15 (Page 109)
Concepts, Skills, & Problem Solving 16 (Page 109)
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Concepts, Skills, & Problem Solving 18 (Page 109)
Concepts, Skills, & Problem Solving 19 (Page 109)
Concepts, Skills, & Problem Solving 20 (Page 109)
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Concepts, Skills, & Problem Solving 32 (Page 110)