CK-12 Geometry - Second Edition

6.2. Properties of Parallelograms http://www.ck12.org

Solution:ADandSNbisect each other, soSY=Y N.

4 x− 11 =x+ 10

3 x= 21

x= 7

Know What? RevisitedBy the Parallelogram Diagonals Theorem, the fountain is going to be 34 feet from either
endpoint on the 68 foot diagonal and 25 feet from either endpoint on the 50 foot diagonal.

Review Questions

1. Ifm^6 B= 72 ◦in parallelogramABCD, find the other three angles.


2. Ifm^6 S= 143 ◦in parallelogramPQRS, find the other three angles.


3. IfAB⊥BCin parallelogramABCD, find the measure of all four angles.


4. Ifm^6 F=x◦in parallelogramEF GH, find expressions for the other three angles in terms ofx.

For questions 5-13, find the measures of the variable(s). All the figures below are parallelograms.

5.

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