Question

Build Understanding ACTIVITY When two lines are cut by a third line, the third line is called a transversal. The intersections of the lines form eight angles, including five special types of angle pairs. When the two lines cut by a transversal are parallel, as shown, the angles in any of the special pairs will be either congruent or supplementary. 1/2 3/4 5/6 7/8 1 The term alternate means that two angles are on opposite sides of the transversal. A. Alternate interior angles are angles on opposite sides of the transversal inside the parallel lines. Measure a pair of alternate interior angles with a protractor. Name the angles you found. Are they congruent or supplementary?

Answer 1

First of, let us explain what congruent and supplementary mean.

Congruent angles are equal to each other.

Supplementary angles add up to give 180 degrees.

A) Alternate interior angles are congruent. Examples of alternate interior angles from the image include

- angles 3 and 6.

- angles 4 and 5.

B) Alternate exterior angles are congruent. Examples of alternate exterior angles from this image include

- angles 1 and 8.

- angles 2 and 7.

C) Same-side interior angles are supplemetary. Examples of same-side interior angles from the image include

- angles 3 and 5.

- angles 4 and 6.

D) Same-side corresponding angles are also supplementary. Examples of same-side exterior angles from the image include

- angles 1 and 7.

- angles 2 and 8.

E) Corresponding angles for two parallel lines are congruent. Examples of corresponding angles from the image include

- angles 1 and 5.

- angles 2 and 6.

- angles 3 and 7.

- angles 4 and 8.

Hope this Helps!!!