Question

1. given that △ymz and △qmp are identical, and yz = 13, qm = 15, and pm = 15, complete the table below to determine the remaining measurements.

side: qp, ym, zm
measure:

Explanation:

Step1: Recall property of congruent triangles

If $\triangle YMZ$ and $\triangle QMP$ are identical (congruent), then corresponding - sides are equal.

Step2: Identify corresponding sides

$\overline{ZM}$ corresponds to $\overline{QM}$, $\overline{YM}$ corresponds to $\overline{PM}$, and $\overline{QP}$ corresponds to $\overline{YZ}$.

Step3: Substitute given values

Since $\overline{QM}=15$, then $ZM = 15$; since $\overline{PM}=15$, then $YM = 15$; since $\overline{YZ}=13$, then $QP = 13$.

Answer:

Side	Measure
$\overline{YM}$	15
$\overline{QP}$	13