Download LARSON GEOMETRY CHAPTER 3, LESSON 1

LARSON GEOMETRY
CHAPTER 3, LESSON 1, EXTRA EXAMPLES
Remember: a transversal is a line that intersects two or more coplanar lines at different
points. In the following extra examples, line t is a transversal.
Extra Example 2a Corresponding Angles
List all pairs of angles that are corresponding angles.
t
1 2
4 3
5 6
8 7
SOLUTION
Two angles are corresponding angles if they occupy corresponding positions. The
following angles are corresponding angles:
∠1 and ∠5
∠2 and ∠6
∠3 and ∠7
∠4 and ∠8
Extra Example 2b Alternate Exterior Angles
List all pairs of angles that are alternate exterior angles.
1 2
8
7
3
6
4
5
t
SOLUTION
Two angles are alternate exterior angles if they lie outside the two lines on
opposite sides of the transversal. The following angles are alternate exterior
angles:
∠1 and ∠5
∠4 and ∠8
Geometry, Chapter 3, Lesson 1, Extra Examples
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Extra Example 2c Alternate Interior Angles
List all pairs of angles that are alternate interior angles.
t
1 5
2 6
3 7
4 8
SOLUTION
Two angles are alternate interior angles if they lie between the two lines on
opposite sides of the transversal. The following angles are alternate interior
angles:
∠2 and ∠7
∠3 and ∠6
Extra Example 2d Consecutive Interior Angles
List all pairs of angles that are consecutive interior angles.
1 2
4 3
5 6
7 8
t
SOLUTION
Two angles are consecutive interior angles if they lie between the two lines on
the same side of the transversal. The following angles are consecutive interior
angles:
∠2 and ∠5
∠3 and ∠7
Geometry, Chapter 3, Lesson 1, Extra Examples
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