Question

figure wxuy is a transformation of figure stuv. a. identify the transformation. b. figure wxuy is the image of figure stuv. identify the corresponding side or angle for each given side or angle. st and _, ∠s and _, tu and _, ∠tuv and _, ∠t and _, ∠u and _, uv and _, ∠v and _, yw and _, ∠y and _, wx and _, ∠x and _

Explanation:

Step1: Identify transformation type

By observing the orientation and position of figure WXUY relative to figure STUV, we can see that it is a rotation. The figures seem to be rotated around a point (in this case likely point U).

Step2: Find corresponding sides and angles

For corresponding sides:

• $\overline{ST}$ corresponds to $\overline{WX}$ as they are in the same relative position in the two - figures.
• $\overline{TU}$ corresponds to $\overline{XU}$
• $\overline{UV}$ corresponds to $\overline{UY}$
• $\overline{VS}$ corresponds to $\overline{YW}$

For corresponding angles:

• $\angle S$ corresponds to $\angle Y$
• $\angle T$ corresponds to $\angle X$
• $\angle U$ corresponds to $\angle U$ (common vertex and same relative position in the angle - structure of the figures)
• $\angle V$ corresponds to $\angle W$

Answer:

a. The transformation is a rotation.
b. Corresponding sides: $\overline{ST}$ and $\overline{WX}$, $\overline{TU}$ and $\overline{XU}$, $\overline{UV}$ and $\overline{UY}$, $\overline{VS}$ and $\overline{YW}$; Corresponding angles: $\angle S$ and $\angle Y$, $\angle T$ and $\angle X$, $\angle U$ and $\angle U$, $\angle V$ and $\angle W$