14
QuizMultiple Choice

Geometric Transformations — Test

Question 14 • 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
No, the angles are not preserved.
B
No, the side lengths are not preserved.
C
Yes, one figure maps to the other.
D
Yes, the side lengths in the two figures are proportional.

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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