Question

consider the transformation. which statement about the transformation is true? it is isometric because the side lengths remained the same. it is isometric because all angle measures remained the same. it is not isometric because the side lengths did not remain the same. it is not isometric because the angle measures did not remain the same.

Explanation:

Step1: Recall isometric transformation definition

An isometric transformation preserves side - lengths and angle - measures.

Step2: Compare side - lengths

Original trapezoid PQRS has side lengths PQ = 4, QR = 8, RS = 4, PS = 12. Transformed trapezoid P'Q'R'S' has side lengths P'Q' = 2, Q'R' = 4, R'S' = 2, P'S' = 6. Side lengths are halved.

Step3: Analyze isometric property

Since side - lengths did not remain the same, it is not an isometric transformation.

Answer:

It is not isometric because the side lengths did not remain the same.