Question

Geometry

Chloe draws three parallelograms. In each figure, she measures a pair of angles, as shown.

What is a reasonable conjecture for Chloe to make by recognizing a pattern and using inductive reasoning?

In a parallelogram, consecutive angles are congruent.

In a parallelogram, all angles are congruent

In a parallelogram, consecutive angles are supplementary.

In a parallelogram, all angles are supplementary.

Answer 1

The answer is: In a parallelogram, consecutive angles are supplementary.

Supplementary angles are angles that when added up together equals 180˚. From the figure, if you add up both angles for each parallelogram, the sum is 180˚. They are supplementary. Another observation is that the angles are next to each other. Thus, the answer.