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McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

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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)

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Solve for QR

SubstituteII

TU= 26, SV= 17

17=1/2( 26+QR)

MultEqn

LHS * 2=RHS* 2

34=26+QR

SubEqn

LHS-26=RHS-26