Question

question 16
1 pts
triangle abc is an image of the other triangle. what kind of transformation is shown?
image of coordinate grid with triangles abc and abc
options: reflection, rotation, dilation, translation
question 17
1 pts
triangle abc is an image of the other triangle. what kind of transformation is shown?
image of coordinate grid with triangles abc and abc

Explanation:

Step1: Analyze Reflection

Reflection would flip the triangle over a line, but the orientation here doesn't match a flip. So not reflection.

Step2: Analyze Rotation

Rotation involves turning the figure around a point. The triangle \( A'B'C' \) seems to have been rotated (e.g., 90 - degree rotation) from the original triangle \( ABC \) as the orientation and position change in a rotational way.

Step3: Analyze Dilation

Dilation changes the size, but both triangles appear to have the same side lengths (from grid), so no dilation.

Step4: Analyze Translation

Translation is a slide, but the triangle's orientation (angle) has changed, so not a translation (which preserves orientation).

Answer:

B. rotation