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if $\\triangle art \\cong \\triangle xmi$ and the perimeter of $\\trian…

Question

if $\triangle art \cong \triangle xmi$ and the perimeter of $\triangle art$ is 13, then the perimeter of $\triangle xmi$ is:
options: 9, 12, 13, 15, 8

Explanation:

Step1: Recall the property of congruent triangles

Congruent triangles have equal corresponding sides.

Step2: Determine the perimeter relationship

Since \(\triangle ART\cong\triangle XMI\), their perimeters are equal. Given \(P_{\triangle ART} = 13\), so \(P_{\triangle XMI}=13\).

Answer:

13.