Question

consider the rotation of figure wxyz shown. complete the statements about the transformation shown. point w corresponds to point angle zwx corresponds to angle

Explanation:

For the first statement, in a rotation transformation, corresponding points are determined by the congruence of the figures and the rotation mapping. By analyzing the labeled points and the congruent markings (like the tick marks on sides), we can see that point \( W \) in the original figure \( WXYZ \) corresponds to point \( Y' \) in the rotated figure (since the rotation maps the vertices in a way that preserves the order and congruence of the figure). For the second statement, angle \( \angle ZWX \) in the original figure is formed by points \( Z \), \( W \), \( X \). The corresponding angle in the rotated figure will be formed by the corresponding points. So, angle \( \angle ZWX \) corresponds to angle \( \angle Z'Y'X' \) (matching the order of corresponding points \( Z \to Z' \), \( W \to Y' \), \( X \to X' \)).

Answer:

Point \( W \) corresponds to point \( Y' \).
Angle \( \angle ZWX \) corresponds to angle \( \angle Z'Y'X' \).