Question

read the passage and answer the following question. grade 8 unit 2: triangle art nathan is an artist. he is working on a mural that features geometric shapes. he started his mural by creating two large green triangles. nathan likes the triangles and wants to add two purple triangles to the design. to help his planning, he has drawn the triangles on a coordinate plane scaled to the size of the mural and labeled the triangle in quadrant i with points a, b, c. use nathans diagram show below to answer the questions. if two transformations are used on triangle abc, with one of these transformations being a dilation, explain how you know the triangle is not congruent to triangle abc. enter your explanation.

Explanation:

A dilation is a transformation that changes the size of a figure. Congruent triangles have the same shape and size. Since a dilation changes the size of triangle ABC, the resulting triangle cannot have the same size as the original triangle ABC, and thus is not congruent to it.

Answer:

A dilation changes the size of the triangle. Congruent triangles must have the same size. So the triangle with a dilation transformation is not congruent to triangle ABC.