Question

When a transversal intersects a pair of parallel lines it will create two pairs of alternate exterior angles. Ricky claims the angles within each pair are congruent to each other, but not congruent to either angle in the other pair.

Part A Draw a transversal through the point that supports Ricky's claim, or select NONE if there is not a situation to support the claim.
Part B Draw a transversal through the point that refutes Ricky's claim, or select NONE if there is not a situation to refute the claim.

Answer 1

A transversal intersecting parallel lines creates congruent alternate exterior angles within each pair.

Step-by-step explanation:

Part A: To support Ricky's claim, let's consider a pair of parallel lines and a transversal. When the transversal intersects the parallel lines, it creates alternate exterior angles.

These angles are congruent to each other, but not congruent to any other angle formed by the transversal.

Part B: To refute Ricky's claim, we need to find a situation where the angles within each pair of alternate exterior angles are congruent to each other.

However, this is not possible since alternate exterior angles are always congruent to each other and not congruent to any other angle formed by the transversal.