1. Warm Up 3.3 on desk
Do Daily Quiz3.2

2. ESSENTIAL OBJECTIVE
Identify Angles formed by transversals

3. VOCABULARY
A transversal is a line that intersects two or more coplanar lines at different points.

4. VOCABULARY
A transversal is a line that intersects two or more coplanar lines at different points.

5. VOCABULARY
When two lines are intersected by a transversal, two angles are called
… corresponding angles if they occupy corresponding positions.

6. 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.

7. 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.

8. 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

9. Describe the relationship between the angles.
Example 1
Describe Angles Formed by Transversals
Describe the relationship between the angles. a.
1 and 2 b.
3 and 4 c.
5 and 6
SOLUTION
alternate interior angles a.
alternate exterior angles b.
same-side interior angles c. 9

10. List all pairs of angles that fit the description.
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
corresponding a.
1 and 5
2 and 6
3 and 7
4 and 8 10

11. Example 2 alternate exterior: b. 1 and 8 3 and 6
Identify Angles Formed by Transversals
alternate exterior: b.
1 and 8
3 and 6
alternate interior: c.
2 and 7
4 and 5
same-side interior: d.
2 and 5
4 and 7 11

12. Describe the relationship between the angles.
Checkpoint
Describe Angles Formed by Transversals
Describe the relationship between the angles.
2 and 7 1.
3 and 5 2.
1 and 5 3.

13. Describe the relationship between the angles.
Checkpoint
Describe Angles Formed by Transversals
Describe the relationship between the angles.
2 and 7 1.
ANSWER
alternate exterior angles
3 and 5 2.
ANSWER
same-side interior angles
1 and 5 3.
ANSWER
corresponding angles

14. Describe the relationship between the angles.
Checkpoint
Describe Angles Formed by Transversals
4 and 5 4.
Describe the relationship between the angles.
4 and 8 5.
4 and 6 6.

15. Describe the relationship between the angles.
Checkpoint
Describe Angles Formed by Transversals
4 and 5 4.
Describe the relationship between the angles.
ANSWER
alternate interior angles
4 and 8 5.
ANSWER
corresponding angles
4 and 6 6.
ANSWER
same-side interior angles

16. REVIEW 1.
1  3
Determine whether enough information is given to conclude that the statement is true. Explain.
Yes; all right angles are congruent.
ANSWER 2.
4  5
No; not enough information is given.
ANSWER

17. 3.
Find the value of x given that s t.
x = 8
ANSWER
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. 4.
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)
ANSWER

18. HW Worksheet 3.3