Geometry Companion Book, Volume 2

6.2 Review Worksheet

6.2.1 Properties of Special Parallelograms A carpenter measures the diagonals of a piece of wood. In rectangle JKLM, JM = 25 in., and = JP 14 in. Find each length.

1 2

1. JL

2. KL

K

L

P

J

3. KM

4. MP

M

VWXY is a rhombus. Find each measure. 5. VW

W

9 a – 18

X

V

Z

3 a + 15

Y

6. m ∠ VWX and m ∠ WYX if m ∠ WVY = (4 b + 10)°and m ∠ XZW = (10 b − 5)°.

7. The vertices of square PQRS are P ( − 4, 0), Q (4, 3), R (7, − 5), and S ( − 1, − 8). Show that the diagonals of square PQRS are congruent perpendicular bisectors of each other.

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