Question

Kathryn draws three pairs of intersecting lines. In each figure, she measures a pair of angles. What is a reasonable conjecture for Kathryn to make by recognizing a pattern and using inductive reasoning?

When a pair of lines intersect, the vertical angles are acute.

When a pair of lines intersect, the vertical angles are congruent.

When a pair of lines intersect, all of the angles formed are congruent.

When a pair of lines intersect, all of the angles formed are right angles.

Answer 1

It is “when a pair of lines intersect, the vertical angles are congruent.”

I just took the quiz :)

Answer 2

A reasonable conjecture would be that vertical angles are congruent. This statement is always true. The rest of the statements are only true on specific situations.