Question

1. make sense and persevere is there enough information to determine the measures of the interior angles of the polygon shown? if so, find the measures. if not, explain.

6.2: kites and trapezoids

1. given trapezoid abcd, what is ef?

for numbers 10 and 11, find each measure.
10.
11.

1. shannon wants to hang curtains using a tension rod across the top of the trapezoid - shaped window that is shown. is a 36 - inch tension rod long enough to go across the top of the window? explain.

Explanation:

Step1: Identify the midsegment theorem

In a trapezoid, the midsegment (or median) length is the average of the two bases. The formula is \( EF=\frac{BC + AD}{2} \), where \( BC \) and \( AD \) are the lengths of the two parallel sides (bases).

Step2: Substitute the values

Given \( BC = 24 \) and \( AD = 32 \), substitute into the formula: \( EF=\frac{24 + 32}{2}=\frac{56}{2}=28 \).

Answer:

28