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question 3 of 10 assume \\( \\triangle r s t \\cong \\triangle m n o \\…

Question

question 3 of 10
assume \\( \triangle r s t \cong \triangle m n o \\). if \\( m n = 6, n o = 7 \\), and \\( m o = 11 \\), what is
the length of \\( \overline { r s } \\)?
a. 7
b. 6
c. cannot be determined
d. 11

Explanation:

Step1: Recall the property of congruent triangles

Congruent triangles have corresponding sides equal. Since \(\triangle RST\cong\triangle MNO\), the corresponding sides are equal. That is \(RS = MN\), \(ST=NO\), \(RT = MO\).

Step2: Substitute the given value

We are given that \(MN = 6\). From the correspondence \(RS = MN\).

Answer:

B. 6