Question

a transformation is shown in the diagram. ∠a = ∠a and ∠c = ∠c. which transformation is shown in the figure? δabc was dilated to form δabc. the transformation is not isometric. δabc was reflected to form δabc. the transformation is isometric. δabc was rotated to form δabc. the transformation is isometric. δabc was translated to form δabc. the transformation is not isometric.

Explanation:

Step1: Recall transformation properties

Isometric transformations preserve shape and size. Dilation changes size, so it's non - isometric. Reflection, rotation and translation are isometric.

Step2: Analyze the figure

The orientation of the triangle has changed. A reflection flips a figure over a line, a rotation turns a figure around a point, and a translation slides a figure. The change in orientation of $\triangle ABC$ to $\triangle A'B'C'$ indicates a rotation.

Answer:

$\triangle ABC$ was rotated to form $\triangle A'B'C'$. The transformation is isometric.