Question

1. which is a true statement about the transformation shown?

a. the graph shows a translation, and the figures are congruent.
b. the graph shows a reflection, and the figures are congruent.
c. the graph shows a translation, and the figures are similar.
d. the graph shows a reflection, and the figures are similar.

Explanation:

• A translation is a slide of a figure. In a translation, the figure moves but its shape and size remain the same. Congruent figures have the same shape and size.
• A reflection is a flip of a figure over a line. Similar figures have the same shape but not necessarily the same size.
• Looking at the graph, the figure is moved (slid) to a new position. The size and shape of the two triangles (the original and the translated one) are the same.

Answer:

A. The graph shows a translation, and the figures are congruent.