20
QuizMultiple Choice

Geometric Transformations — Test

Question 20 • Geometry

All side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to P′⁢Q′⁢R′⁢S′. All sides of P′⁢Q′⁢R′⁢S′ measure 1 unit. Is the transformation an isometric transformation? Explain.

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

Explanation

An isometric transformation preserves distances, so corresponding side lengths must stay the same. Here, each side changes from 4 units to 1 unit, so the side lengths are not preserved. Therefore, the transformation is not isometric; choice D is correct.

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