Question

all side lengths in quadrilateral pqrs measure 4 units. a transformation maps pqrs to pqrs. all sides of pqrs measure 1 unit. is the transformation an isometric transformation? explain. yes, the side lengths in the two figures are proportional. yes, one figure maps to the other. no, the side lengths are not preserved. no, the angles are not preserved.

Explanation:

An isometric transformation preserves distances (side - lengths). In quadrilateral \(PQRS\) side - lengths are \(4\) units and in \(P'Q'R'S'\) side - lengths are \(1\) unit. Since the side - lengths are not preserved (changed from \(4\) to \(1\)), it is not an isometric transformation.

Answer:

No, the side lengths are not preserved.