Problem

7. $\triangle G H J \cong \triangle P Q R$ and $\triangle P Q R \cong \triangle S T U$. Complete the following using a side or angle of $\triangle S T U$. (1 point)
a. $\angle R \cong$
b. $\angle H \cong$
c. $-Q R \cong$
d. $J G \cong$

Answer

Expert–verified
Hide Steps
Answer

Final Answer: \(\boxed{\angle R \cong \angle U, \angle H \cong \angle S, QR \cong TU, JG \cong ST}\)

Steps

Step 1 :The question is asking for the corresponding sides and angles in triangle STU for the given sides and angles in triangles G H J and P Q R. Since the triangles are congruent, corresponding sides and angles are equal.

Step 2 :Angle R in triangle PQR corresponds to angle U in triangle STU.

Step 3 :Angle H in triangle GHJ corresponds to angle P in triangle PQR which corresponds to angle S in triangle STU.

Step 4 :Side QR in triangle PQR corresponds to side TU in triangle STU.

Step 5 :Side JG in triangle GHJ corresponds to side PQ in triangle PQR which corresponds to side ST in triangle STU.

Step 6 :Final Answer: \(\boxed{\angle R \cong \angle U, \angle H \cong \angle S, QR \cong TU, JG \cong ST}\)

link_gpt