Question

fill in the missing information.
\\( \triangle mno \cong \triangle pqr \\)
1.

\\( \

$$\begin{array} { l } { \\text { a. } \\angle n \\cong \\angle } \\\\ { \\text { b. } \\angle o \\cong \\angle } \\end{array}$$

\\)
\\( \angle r ; \angle q \\)
a
\\( \angle q ; \angle r \\)
b
\\( \angle q ; \angle p \\)
c
\\( \angle p ; \angle r \\)
d
2.
the two triangles are congruent as suggested by their appearance. find the
value of c. the diagrams are not to scale.
\\( \bigcirc 3 \\)
a
b
\\( 38 \\)
c
\\( 5 \\)
d
4

Explanation:

Step1: Identify congruent angles

Since \(\triangle MNO\cong\triangle PQR\), corresponding angles are congruent.
\(\angle N\) corresponds to \(\angle Q\) and \(\angle O\) corresponds to \(\angle R\)

Step2: Analyze congruent triangles for side \(c\)

Congruent triangles have corresponding sides equal.
The side of length \(3\) in the first triangle corresponds to side \(c\) in the second triangle.

Answer:

1. B (\(\angle Q;\angle R\))
2. A (\(3\))