body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

Finish the assignment

Continue to next subchapter

Exercise 19 Page 527

If a quadrilateral is a trapezoid, then the length of the midsegment is half the sum of the lengths of the bases.

8

Practice makes perfect

We will find the length of the base QR.

Recall the Trapezoid Midsegment Theorem.

Trapezoid Midsegment Theorem
The midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.

Using the theorem, we can write the following equation. SV= 1/2 ( TU+ QR) We are given that SV= 17 and TU= 26 Let's find the length of QR.

SV=1/2 (TU+QR)

▼

Solve for QR

TU= 26, SV= 17

17=1/2( 26+QR)

LHS * 2=RHS* 2

34=26+QR

LHS-26=RHS-26

8=QR

Rearrange equation

QR=8

We found that base QR=8.

Subchapter links

Exercises p.526-530