Question

a figure containing ∠lmn is dilated by a scale factor of 1/3 to form a new figure which contains ∠lmn. ∠lmn measures 79°. what is the measure of ∠lmn? answer attempt 1 out of 2 m∠lmn = °

Explanation:

Step1: Recall the property of dilation

Dilation is a transformation that changes the size of a figure but not the shape. Angles are preserved under dilation.

Step2: Apply the property to the given angles

Since $\angle LMN$ is dilated to form $\angle L'M'N'$, and angles are preserved in dilation. So $m\angle LMN=m\angle L'M'N'$. Given $m\angle L'M'N' = 79^{\circ}$, then $m\angle LMN=79^{\circ}$.

Answer:

$79$