Question

here are some triangles on a graph. describe a single transformation that shows that triangle def is congruent to triangle abc. describe a sequence of transformations that shows that triangle def is similar to triangle ghi.

Explanation:

Step1: Analyze the position of triangle DEF and triangle ABC

Triangle DEF is located at the bottom - right of the coordinate system, and triangle ABC is located at the top - right. We can observe that if we rotate triangle DEF 180° around the origin, its orientation will be adjusted.

Step2: Determine the translation after rotation

After rotating triangle DEF 180° around the origin, we need to translate it. Counting the grid units, we find that translating it 4 units up (along the y - axis) will make it coincide with triangle ABC.

Answer:

Rotate triangle DEF 180° around the origin and then translate it 4 units up.