Question

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

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

In a parallelogram, all angles are congruent.


In a parallelogram, opposite angles are congruent.


In a parallelogram, opposite angles are acute.


In a parallelogram, all angles are acute

Answer 1

In a parallelogram, opposite angles are congruent.

Answer 2

Ava wants to recognize a pattern by measuring the given pair of angles.

As, we can observe clearly, in the first parallelogram, measure of opposite angles are 59 degrees each.

Similarly, in second parallelogram, measure of opposite angles are 71 degrees each and the third parallelogram has 138 degrees each.

Therefore, we can conclude that the opposite angles of the parallelogram are congruent.

So, In a parallelogram, opposite angles are congruent.

Option 2 is the correct answer.