3. the given triangles are similar. lets try that again fill in the blanks to match the corresponding sides. yx corresponds to _ xw corresponds to _ wy corresponds to _

Question

Accepted Answer

# Explanation:
## Step1: Analyze the similarity of triangles
Since the triangles are similar, their corresponding angles are equal.
- In $\triangle JKI$ and $\triangle YXW$, $\angle J=\angle Y$, $\angle K=\angle X$, $\angle I=\angle W$
## Step2: Match the corresponding sides
- For side $YX$:
    - In $\triangle YXW$, side $YX$ is opposite to $\angle W$. In $\triangle JKI$, side $JK$ is opposite to $\angle I$. Since $\angle I = \angle W$, $YX$ corresponds to $JK$
- For side $XW$:
    - In $\triangle YXW$, side $XW$ is opposite to $\angle Y$. In $\triangle JKI$, side $KI$ is opposite to $\angle J$. Since $\angle Y=\angle J$, $XW$ corresponds to $KI$
- For side $WY$:
    - In $\triangle YXW$, side $WY$ is opposite to $\angle X$. In $\triangle JKI$, side $JI$ is opposite to $\angle K$. Since $\angle X = \angle K$, $WY$ corresponds to $JI$

# Answer:
$YX$ corresponds to $JK$, $XW$ corresponds to $KI$, $WY$ corresponds to $JI$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Analyze the similarity of triangles

Step2: Match the corresponding sides

Answer: