Download Angles Formed By Tansversal Lines

Warm Up 3.3
on desk
Do Daily Quiz3.2
ESSENTIAL OBJECTIVE
• Identify Angles formed by transversals
VOCABULARY
• A transversal is a line that intersects two or
more coplanar lines at different points.
VOCABULARY
• A transversal is a line that intersects two or
more coplanar lines at different points.
VOCABULARY
• When two lines are intersected by a
transversal, two angles are called
… corresponding angles if they occupy
corresponding positions.
VOCABULARY
• When two lines are intersected by a
transversal, two angles are called
• …alternate interior angles if they lie between
the two lines on the opposite sides of the
transversal.
VOCABULARY
• When two lines are intersected by a
transversal, two angles are called
• … alternate exterior angles if they lie outside
the two lines on the opposite sides of the
transversal.
VOCABULARY
• When two lines are intersected by a
transversal, two angles are called
• …same-side interior angles if they lie
between the two lines on the same side of the
transversal
Example 1
Describe Angles Formed by Transversals
Describe the relationship between the angles.
a. 1 and 2
b. 3 and 4
SOLUTION
a. alternate interior angles
b. alternate exterior angles
c. same-side interior angles
c. 5 and 6
Example 2
Identify Angles Formed by Transversals
List all pairs of angles that fit the
description.
a. corresponding
b. alternate exterior
c. alternate interior
d. same-side interior
SOLUTION
a. corresponding
1 and 5
2 and 6
3 and 7
4 and 8
Example 2
Identify Angles Formed by Transversals
b. alternate exterior:
1 and 8
3 and 6
c. alternate interior:
2 and 7
4 and 5
d. same-side interior:
2 and 5
4 and 7
Checkpoint
Describe Angles Formed by Transversals
Describe the relationship between the angles.
1. 2 and 7
2. 3 and 5
3. 1 and 5
Checkpoint
Describe Angles Formed by Transversals
Describe the relationship between the angles.
1. 2 and 7
ANSWER alternate exterior angles
2. 3 and 5
ANSWER same-side interior angles
3. 1 and 5
ANSWER corresponding angles
Checkpoint
Describe Angles Formed by Transversals
Describe the relationship between the angles.
4. 4 and 5
5. 4 and 8
6. 4 and 6
Checkpoint
Describe Angles Formed by Transversals
Describe the relationship between the angles.
4. 4 and 5
ANSWER alternate interior angles
5. 4 and 8
ANSWER corresponding angles
6. 4 and 6
ANSWER same-side interior angles
REVIEW
Determine whether enough information
is given to conclude that the statement
is true. Explain.
1. 1  3
ANSWER
Yes; all right angles are congruent.
2. 4  5
ANSWER
No; not enough information is given.
3. Find the value of x given that s
ANSWER
t.
x=8
4. Angela constructs this bean pole for her beans
to climb. The horizontal pieces must be at right
angles to the vertical pole. Must Angela measure
all four angles at each connection point to be
sure they are all right angles? Explain.
ANSWER
No; if one angle is a right angle, then the
horizontal piece and the pole are
perpendicular. If they are perpendicular, then
all four angles are right angles. (Theorem
3.2)
• HW Worksheet 3.3