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McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

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Exercise 20 Page 527

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

12

Practice makes perfect

We will find the length of the base UT.

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. VS= 1/2 ( UT+ QR) We are given that VS= 7 and QR= 2. Let's find the length of UT.

VS=1/2(UT+QR)

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Solve for UT

SubstituteII

QR= 2, VS= 7

7=1/2(UT+ 2)

MultEqn

LHS * 2=RHS* 2

14=UT+2

SubEqn

LHS-2=RHS-2