Question

find the length of the midsegment of each trapezoid. 9) h 48 e m? l g 18 f 10) q 6.2 r k? j p 7 s 11) g 33 d q? r f 11 e 12) c 6 b k? l d 12 a

Explanation:

Step1: Recall mid - segment formula

The length of the mid - segment of a trapezoid is given by $m=\frac{b_1 + b_2}{2}$, where $b_1$ and $b_2$ are the lengths of the parallel sides.

Step2: Solve for problem 9

For the trapezoid with $b_1 = 48$ and $b_2=18$, $m=\frac{48 + 18}{2}=\frac{66}{2}=33$.

Step3: Solve for problem 10

For the trapezoid with $b_1 = 6.2$ and $b_2 = 7$, $m=\frac{6.2+7}{2}=\frac{13.2}{2}=6.6$.

Step4: Solve for problem 11

For the trapezoid with $b_1 = 33$ and $b_2 = 11$, $m=\frac{33 + 11}{2}=\frac{44}{2}=22$.

Step5: Solve for problem 12

For the trapezoid with $b_1 = 6$ and $b_2 = 12$, $m=\frac{6+12}{2}=\frac{18}{2}=9$.

Answer:

1. 33
2. 6.6
3. 22
4. 9