Problem
GEO-B1-M04-P005 Midline and Bases
#5
★☆☆☆☆ Level 1 of 5
In trapezoid \(ABCD\), bases \(AD\parallel BC\), \(AD=17\), \(BC=9\). Points \(M\) and \(N\) are the midpoints of the legs. Find the midline \(MN\).
The midline of a trapezoid equals half the sum of the bases.
By the trapezoid midline theorem, \(MN=\frac{AD+BC}{2}=\frac{17+9}{2}=13\).
A simple numerical task, but it is useful to ask the student to state the theorem aloud.