Question

△qrp≅△yxz. what is the perimeter of △yxz? 6.4 in. 5.3 in. 3.5 in. 7.8 in.

Explanation:

Step1: Recall congruent - triangle property

Corresponding sides of congruent triangles are equal. So, if $\triangle QRP\cong\triangle YXZ$, then $YZ = RP = 2.5$ in, $XY=1.4$ in.

Step2: Calculate the perimeter formula

The perimeter $P$ of a triangle is $P=a + b + c$, where $a$, $b$, and $c$ are the side - lengths of the triangle. For $\triangle YXZ$, $P=XY + YZ+XZ$. We know $XY = 1.4$ in and $YZ = 2.5$ in. To find $XZ$, we note that we don't have enough information to find $XZ$ from the given data. But if we assume the triangle is isosceles (from the markings on $\triangle QRP$), and since $\triangle QRP\cong\triangle YXZ$, assume $XZ=XY = 1.4$ in.

Step3: Calculate the perimeter

$P=1.4+2.5 + 1.4=5.3$ in.

Answer:

$5.3$ in.