Question

1. define the terms below: sketch an example.

a. corresponding angle
b. alternate exterior angle
c. alternate interior angle

Explanation:

a. Corresponding angles are angles in the same relative position at each intersection where a straight - line crosses two others. If the two lines are parallel, corresponding angles are equal. For example, when a transversal intersects two parallel lines, the top - left angles at each intersection are corresponding.
b. Alternate exterior angles are the pair of angles that lie on the outer side of the two lines but on the opposite side of the transversal. When two parallel lines are cut by a transversal, alternate exterior angles are congruent.
c. Alternate interior angles are the pair of angles that lie on the inner side of the two lines but on the opposite side of the transversal. In the case of two parallel lines cut by a transversal, alternate interior angles are equal.

Answer:

a. Definition: Angles in the same relative position at each intersection where a straight - line crosses two others. Example: In a transversal - parallel lines setup, top - left angles at each intersection.
b. Definition: The pair of angles that lie on the outer side of the two lines but on the opposite side of the transversal. Example: In parallel lines cut by a transversal, outer and opposite - side angles.
c. Definition: The pair of angles that lie on the inner side of the two lines but on the opposite side of the transversal. Example: In parallel lines cut by a transversal, inner and opposite - side angles.