Exploring Angle Relationships with Transversals and Parallel Lines

What is a transversal?

• A line that is perpendicular to another line

• A line that intersects two or more lines at different points

• A line that is parallel to another line

• A line that intersects only one line

Which of the following pairs of angles are corresponding angles?

• Angle 4 and Angle 8

• Angle 1 and Angle 4

• Angle 2 and Angle 6

• Angle 3 and Angle 5

What are alternate interior angles?

• Angles on the same side of the transversal and outside the parallel lines

• Angles on the same side of the transversal and inside the parallel lines

• Angles on opposite sides of the transversal and inside the parallel lines

• Angles on opposite sides of the transversal and outside the parallel lines

Which of the following pairs of angles are vertical angles?

• Angle 4 and Angle 8

• Angle 1 and Angle 5

• Angle 2 and Angle 6

• Angle 3 and Angle 7

What does it mean for angles to be congruent?

• They are on the same side of the transversal

• They add up to 90 degrees

• They add up to 180 degrees

• They have the same measure

Which of the following pairs of angles are supplementary?

• Angle 4 and Angle 6

• Angle 3 and Angle 5

• Angle 2 and Angle 4

• Angle 1 and Angle 3

How can you quickly identify if angles are congruent or supplementary using a highlighter?

• Highlight all angles with the same measure in the same color

• Highlight every other angle in the same color

• Highlight all angles on the same side of the transversal in the same color

• Highlight all angles inside the parallel lines in the same color

What is the relationship between angles 9 and 11 in the given diagram?

• They are vertical angles and congruent

• They are same side interior angles and supplementary

• They are corresponding angles and congruent

• They are alternate interior angles and congruent

If two angles are vertical, what can be said about their measures?

• They are always adjacent

• They are always supplementary

• They are always congruent

• They are always complementary

In solving for x, if two angles are vertical and represented by 5x and 2x + 24, what is the value of x?

• 12

• 10

• 8

• 6