Question

20 multiple choice 2 points if △mnp≅△vwx and $overline{pm}$ is the shortest side of △mnp, what is the shortest side of △vwx? $overline{xv}$ $overline{vw}$ $overline{np}$ $overline{wx}$ 21 multiple choice 2 points triangle fgh and two of its angle measures are shown below. what is the measure of angle f? 91° 89° 29° 90°

Explanation:

Step1: Recall property of congruent triangles

Corresponding sides of congruent triangles are equal. Since $\triangle MNP\cong\triangle VWX$, the shortest side of $\triangle MNP$ (which is $\overline{PM}$) corresponds to the shortest side of $\triangle VWX$. The corresponding side of $\overline{PM}$ in $\triangle VWX$ is $\overline{XV}$.

Step2: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. For $\triangle FGH$, if $\angle G = 31^{\circ}$ and $\angle H=60^{\circ}$, then $\angle F=180^{\circ}-\angle G - \angle H$.

Step3: Calculate $\angle F$

$\angle F=180 - 31-60=89^{\circ}$

Answer:

1. A. $\overline{XV}$
2. B. $89^{\circ}$