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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

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Exercise 11 Page 526

If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent.

15

Practice makes perfect

We want to find the measure of PW in WXYZ.

Note that two opposite sides are parallel and other two, are not parallel, but are congruent. We can conclude that quadrilateral is isosceles trapezoid. Recall that if a quadrilateral is an isosceles trapezoid, then its diagonals are congruent. Therefore, by the definition of congruent sides, their measures are equal. WY= XZ We are given XZ= 18 and PY= 3. Note that WY= WP+ PY. Therefore XZ= WP+ PY.

XZ=WP+PY

XZ= 18, PY= 3

18=WP+ 3

LHS-3=RHS-3

15=WP

Rearrange equation

WP=15

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Exercises p.526-530