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McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

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Exercise 5 Page 526

Use the Trapezoid Midsegment Theorem.

1.2

Practice makes perfect

We want to find the value of x.

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. YZ= 1/2 ( VR+ TW) Let's substitute the given lengths of the segments into the equation. 8=1/2 ( x+ 14.8) By performing inverse operations, we can solve this equation for x.

8=1/2(x+14.8)

▼

Solve for x

MultEqn

LHS * 2=RHS* 2

16=x+14.8

SubEqn

LHS-14.8=RHS-14.8

x=1.2

Finally, we will add the length of x to our diagram.