Question

1. figure 2 is a 90° clockwise rotation of figure 1. which of the following angles in figure 2 corresponds to ∠c in figure 1?

a. ∠w
b. ∠x
c. ∠y
d. ∠z

Explanation:

Step1: Understand rotation property

Rotation is a transformation that preserves the shape and size of the figure. Corresponding angles in the original and rotated figures are equal.

Step2: Match the angles

When Figure 1 is rotated \(90^{\circ}\) clock - wise to get Figure 2, the order of the vertices changes. In Figure 1, the vertices are \(A,B,C,D\) and in Figure 2, the vertices are \(W,X,Y,Z\). By the property of rotation, \(\angle C\) in Figure 1 corresponds to \(\angle Y\) in Figure 2.

Answer:

C. \(\angle Y\)