1. LINES CUT BY A TRANSVERSAL

2. Vocabulary PARALLEL TRANSVERSAL ANGLE CONGRUENT VERTICAL ANGLE
CORRESPONDING ANGLE
ALTERNATE INTERIOR ANGLE
ALTERNATE EXTERIOR ANGLE
SUPPLEMENTARY ANGLES
STRAIGHT ANGLE

3. Non-Parallel Lines Cut by a Transversal1 2 3 4 5 6 8 7

4. Non-parallel lines cut by a transversal1 2 4 3 6 5 7 8
< 1 and < 2 are SUPLEMENTARY ANGLES
They form a straight angle measuring 180 degrees.

5. Non-parallel lines cut by a transversal2 1 3 4 6 5 7 8
Name other supplementary pairs.

6. Non-parallel lines cut by a transversal1 2 4 3 6 5 7 8
< 1 and < 3 are VERTICAL ANGLES
They are congruent, so m <1 = m <3.

7. Non-parallel lines cut by a transversal1 2 4 3 6 5 7 8
Name other vertical angles.

8. Non-parallel lines cut by a transversal1 2 4 3 6 5 7 8
< 1 and < are CORRESPONDING ANGLES
They are congruent, so m <1 = m <5.
Corresponding angles occupy the same relative position on the same side of the transversal.

9. Non-parallel lines cut by a transversal1 2 4 3 6 5 7 8
Name other corresponding pairs.

10. Non-parallel lines cut by a transversal1 2 4 3 6 5 7 8
< 4 and < are ALTERNATE INTERIOR ANGLES
They are congruent, so m < 4 = m <6.
Alternate Interior Angles are on the inside of the two parallel lines and on opposite sides of the transversal.

11. Non-parallel lines cut by a transversal1 2 4 3 6 5 7 8
Name other alternate interior angles.

12. Non-parallel lines cut by a transversal1 2 4 3 6 5 7 8
< 2 and < are ALTERNATE EXTERIOR ANGLES
They are congruent, so m < 2 = m < 8.
Alternate Exterior Angles are on the outside of the two parallel lines and on opposite sides of the transversal.

13. Non-parallel lines cut by a transversal1 2 4 3 6 5 7 8
Name other alternate exterior angles.

14. Parallel lines cut by a transversal2 1 3 4 6 5 7 8
Are any of the different types of angle pairs congruent?

15. Parallel Lines Cut by a Transversal
What are the measures of the angles below?
(5x + 60)°
(3x – 40)°
What do you know about the angles?
Write the equation.
Solve for x.
Find the measure of each angle.

16. Parallel Lines Cut by a Transversal2 1 3 4 6 5 7 8
The m < 1 is 60°.
What is the m <5 ?

17. Parallel Lines Cut by a Transversal2 1 3 4 6 5 7 8
The m < 6 is 120°.
What is the m < 8 ?

18. Parallel Lines Cut by a Transversal
120°
60°
60°
120
120°
60°
60°
120°

19. Parallel Lines Cut by a Transversal
What are the measures of the angles below?
(2x – 20)°
(x + 10)°
What do you know about the angles?
Write the equation.
Solve for x.
Find the measure of each angle.

20. Parallel Lines Cut by a Transversal
What are the measures of the angles below?
(3x – 120)°
(2x – 60)°
What do you know about the angles?
Write the equation.
Solve for x.
Find the measure of each angle.