Question

directions: complete the congruence statement by naming the corresponding angle or side. 6. △bac≅△lmn 7. △wvu≅△ghi ∠a≅? (overline{uv}cong?) directions: write a congruence statement indicating that the triangles are congruent. 8. 9.

Explanation:

Step1: Recall congruent - triangle property

In congruent triangles, corresponding parts are equal. For $\triangle BAC\cong\triangle LMN$, the order of the vertices gives the correspondence.

Step2: Find corresponding angle

Since $\triangle BAC\cong\triangle LMN$, $\angle A$ corresponds to $\angle M$. So $\angle A\cong\angle M$.

Step3: For $\triangle WVU\cong\triangle GHI$

The order of vertices shows the correspondence. Side $\overline{UV}$ corresponds to side $\overline{HI}$. So $\overline{UV}\cong\overline{HI}$.

Step4: For the third - pair of triangles

From the markings, we can see that $\triangle RST\cong\triangle ITS$. The order of vertices is determined by the congruent - angle and congruent - side markings.

Step5: For the fourth - pair of triangles

From the markings, $\triangle WXV\cong\triangle CED$. The order of vertices is based on the congruent - angle and congruent - side markings.

Answer:

1. $\angle A\cong\angle M$
2. $\overline{UV}\cong\overline{HI}$
3. $\triangle RST\cong\triangle ITS$
4. $\triangle WXV\cong\triangle CED$