Question

which sentence best explains why shape 1 and shape 2 are not congruent? a. shape 1 cannot be mapped onto shape 2 using a dilation. b. shape 1 cannot be mapped onto shape 2 using a reflection. c. there is no sequence of rigid transformations that will map shape 1 onto shape 2. d. not all corresponding pairs of sides on the two shapes are parallel. e. not all corresponding pairs of sides on the two shapes are perpendicular.

Explanation:

Step1: Recall congruent - shape def.

Congruent shapes can be mapped by rigid - motions.

Step2: Analyze options.

Only option C states no rigid - transformation exists.

Answer:

C. There is no sequence of rigid transformations that will map shape 1 onto shape 2.