Question

question 8 of 10
which descriptions from the list below accurately describe the relationship between $\triangle qrs$ and $\triangle tuv$? check all that apply.
a. same shape
b. congruent
c. similar
d. same size

Explanation:

Step1: Check for congruence

Two triangles are congruent if their corresponding sides and angles are equal. In \(\triangle QRS\) and \(\triangle TUV\), all corresponding angles (\(50^{\circ},83^{\circ},47^{\circ}\)) and sides (\(22,23,30\)) are equal.

Step2: Determine similarity and shape

Since congruent triangles are also similar (as similarity ratio is \(1\)) and have the same shape. Congruent triangles also have the same size.

Answer:

A. Same shape, B. Congruent, C. Similar, D. Same size