Question

△pns can be mapped onto △dra by a reflection. if ns = 24, find ra. answer attempt 2 out of 2 ra can be determined. ra =

Explanation:

Step1: Recall Reflection Property

A reflection is a rigid transformation, which means it preserves the shape and size of the figure. So, corresponding sides of congruent triangles (formed by reflection) are equal.

Step2: Identify Corresponding Sides

Since $\triangle PNS$ is mapped onto $\triangle DRA$ by a reflection, $\triangle PNS \cong \triangle DRA$. Therefore, the corresponding side of $NS$ in $\triangle DRA$ is $RA$.

Step3: Determine Length of RA

Given $NS = 24$, and $NS \cong RA$ (corresponding sides of congruent triangles), so $RA = NS = 24$.

Answer:

24