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 \(PQRS\) with side - length \(4\) units and its image \(P'Q'R'S'\) with side - length \(1\) unit, the side - lengths are not the same. Proportional side - lengths do not imply an isometric transformation (as isometric requires exact preservation of side - lengths, not just proportionality). Just because one figure maps to another does not make it isometric. There is no information given about angles in the problem statement, but the key factor for isometric transformation (in terms of side - related properties) is side - length preservation.

Answer:

No, the side lengths are not preserved.