Question

1. figure w x y z was transformed to create figure w x y z. which transformation took place? a. a reflection over line t b. a translation 6 units down and 4 units to the right. c. a rotation 90° clockwise around point y. d. a rotation 180° clockwise around point y.

Explanation:

Step1: Analyze Option A (Reflection)

A reflection over a line would create a mirror image. Looking at the figures, the orientation change doesn't match a reflection (e.g., the sides and angles don't mirror as expected). So A is incorrect.

Step2: Analyze Option B (Translation)

A translation moves the figure without rotating or reflecting. The figures have a rotational change (not just sliding), so B is incorrect.

Step3: Analyze Option C (90° Rotation)

A 90° clockwise rotation around Y would change the figure's orientation in a way that doesn't match the given transformation (the relative positions of vertices don't align with 90° rotation). So C is incorrect.

Step4: Analyze Option D (180° Rotation)

A 180° clockwise rotation around point Y: When a figure is rotated 180° around a point, each vertex is rotated 180° around that point. For point W, X, Z relative to Y, a 180° rotation would map them to the positions of the transformed figure. The orientation (opposite direction) and vertex positions match a 180° rotation around Y.

Answer:

D. A rotation \( 180^\circ \) clockwise around point \( Y \).