16
QuizMultiple Choice

Geometric Transformations — Test

Question 16 • Geometry

All side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to cap p prime cap q prime cap r prime cap s prime All sides of cap p prime cap q prime cap r prime cap s prime measure 1 unit. Is the transformation an isometric transformation? Explain.

Answer
A
Yes, the side lengths in the two figures are proportional.
B
No, the side lengths are not preserved.
C
Yes, one figure maps to the other.
D
No, the angles are not preserved.

Explanation

An isometric transformation preserves the distance between points, so each side must keep its original length. Here, every side changes from 4 units to 1 unit, so the side lengths are not preserved. The figures may be similar, but the transformation is not an isometry.

AI-written and checked against the verified answer.

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