Jamar draws three pairs of parallel lines that are each intersected by a third line. In each figure, he measures a pair of same-side interior angles.

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

a. When a pair of parallel lines are intersected by a third line, the same-side interior angles are acute.

b. When a pair of parallel lines are intersected by a third line, the same-side interior angles are supplementary.

c. When a pair of parallel lines are intersected by a third line, all of the angles formed are supplementary.

d. When a pair of parallel lines are intersected by a third line, all of the angles formed are acute.

Question

Jamar draws three pairs of parallel lines that are each intersected by a third line. In each figure, he measures a pair of same-side interior angles.

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

a. When a pair of parallel lines are intersected by a third line, the same-side interior angles are acute.

b. When a pair of parallel lines are intersected by a third line, the same-side interior angles are supplementary.

c. When a pair of parallel lines are intersected by a third line, all of the angles formed are supplementary.

d. When a pair of parallel lines are intersected by a third line, all of the angles formed are acute.

iosangel · Answer

C?