Question

b. figure wxuy is the image of figure stuv. identify the corresponding side or angle for each given side or angle.
st and xw
sv and yw
∠tuv and yuw
wv and uy
∠s and
v and ∠y
tu and ux
t and ∠x
c. describe how you could compare the corresponding sides and angles of figure stuv and its image, figure wxuy.

Explanation:

Step1: Recall concept of corresponding parts

In congruent or similar - figures, corresponding sides and angles are in the same relative position.

Step2: Identify corresponding sides

For two figures STUV and WXUY, if they are congruent or similar:

• $\overline{ST}$ corresponds to $\overline{WX}$
• $\overline{SV}$ corresponds to $\overline{YW}$
• $\overline{TU}$ corresponds to $\overline{XU}$
• $\overline{UV}$ corresponds to $\overline{UY}$

Step3: Identify corresponding angles

• $\angle S$ corresponds to $\angle W$
• $\angle T$ corresponds to $\angle X$
• $\angle U$ corresponds to $\angle U$ (self - corresponding)
• $\angle V$ corresponds to $\angle Y$

Step4: Describe comparison method

To compare corresponding sides, measure the lengths of the sides of both figures using a ruler. To compare corresponding angles, measure the angles of both figures using a protractor.

Answer:

• $\overline{ST}$ and $\overline{WX}$; $\overline{SV}$ and $\overline{YW}$; $\overline{TU}$ and $\overline{XU}$; $\overline{UV}$ and $\overline{UY}$; $\angle S$ and $\angle W$; $\angle T$ and $\angle X$; $\angle V$ and $\angle Y$
• To compare corresponding sides, measure their lengths. To compare corresponding angles, measure their angle - measures.