G6MU - Investigation Special Angles on Parallel Lines

Investigation #1

Line AD is parallel to Line FG in the figure below. [br]1. Use the angle tool to measure all 8 angles in the figure below.[br]2. Click and drag point C to change the angle measures.[br]3. Complete the questions below the figure based on your observations.

Use this figure for Investigation #1

Observation

Which of the following statements is always true about corresponding pairs of angles, like [math]\angle ABC[/math] and [math]\angle FEB[/math]?

They are not related. They are always congruent. They are always complementary. They are always supplementary.

Which of the following statements is always true about alternate exterior pairs of angles, like [math]\angle ABC[/math] and [math]\angle GEH[/math]?

They are not related. They are always supplementary. They are always complementary. They are always congruent.

Which of the following statements is always true about alternate interior pairs of angles, like [math]\angle ABE[/math] and [math]\angle GEB[/math]?

They are always congruent. They are always complementary. They are not related. They are always supplementary.

Which of the following statements is always true about same side interior pairs of angles, like [math]\angle ABE[/math] and [math]\angle FEB[/math]?

They are always congruent. They are always supplementary. They are always complementary. They are not related.

Which of the following statements is always true about same side exterior pairs of angles, like [math]\angle ABC[/math] and [math]\angle FEH[/math]?

They are always congruent. They are always supplementary. They are not related. They are always complementary.

C-3 Parallel Lines Conjecture

If two parallel lines are cut by a transversal, then corresponding angles are _____, alternate interior angles are _____, and alternate exterior angles are _____.

congruent, congruent, congruent congruent, supplementary, congruent supplementary, congruent, supplementary supplementary, supplementary, supplementary

C-4 Converse of the Parallel Lines Conjecture

If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are _____.

intersecting perpendicular parallel