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question 1 of 10 assume $\\triangle rst \\cong \\triangle mno$. if $mn …

Question

question 1 of 10
assume $\triangle rst \cong \triangle mno$. if $mn = 6$, $no = 7$, and $mo = 11$, what is the length of $rs$
\\(\bigcirc\\) a. 6
\\(\bigcirc\\) b. 7
\\(\bigcirc\\) c. cannot be determined
\\(\bigcirc\\) d. 11

Explanation:

Step1: Recall congruent triangles property

When two triangles are congruent, their corresponding sides are equal. In \(\triangle RST \cong \triangle MNO\), the order of the vertices indicates the correspondence. So, \(RS\) corresponds to \(MN\).

Step2: Determine the length of \(RS\)

Given \(MN = 6\), and since \(RS\) corresponds to \(MN\) in the congruent triangles, \(RS=MN = 6\).

Answer:

A. 6