Question

diego made the shape on the left, and elena made the shape on the right. each shape uses 5 circles. select all the true statements. the smallest circle in diegos design is congruent to the smallest circle in elenas design. diegos design is congruent to elenas design. elenas design is a translation of diegos design.

Explanation:

Step1: Analyze translation concept

Translation moves a shape without rotation or resizing. Elena's and Diego's designs are not translations as orientation is different.

Step2: Analyze congruence concept

Congruent shapes have same size and shape. The smallest circles in both designs have same relative size on grid, so they are congruent. Since overall designs have different orientations, they are not congruent as whole - shapes. So only the statement about the smallest circles being congruent is true.

Answer:

The smallest circle in Diego's design is congruent to the smallest circle in Elena's design.