Question

NP,PM,and MN are all midsegments and bisect beach other side.RS=20SQ=30RQ=24label each other midsegments with its correct measure.

Answer 1

Since NP,PM,and MN are all midsegments in the given triangle RSQ, by midpoint theorem(“The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”)

$MP=\frac{1}{2}RS=\frac{1}{2}\times20=10$$NM=\frac{1}{2}SQ=\frac{1}{2}\times30=15$$NP=\frac{1}{2}RQ=\frac{1}{2}\times24=12$