Honors Geometry Companion Book, Volume 1

6.2.1 Properties of Special Parallelograms - Worksheet

Example 1: The braces of the bridge support lie along the diagonals of rectangle PQRS. RS = 160 ft and QS = 380 ft. Find each length. 1. TQ 2. PQ R S

T

3. ST

4. PR

Q

P

Example 2:

(4 y – 1)°

4 x + 15

ABCD is a rhombus. Find each measure.

B

C

5. AB

6. m ∠ ABC

F

12 y °

7 x + 2

A

D

Example 3:

7. The vertices of square JKLM are J ( − 3, − 5), K ( − 4, 1), L (2, 2), and M (3, − 4). Show that the diagonals of square JKLM are congruent perpendicular bisectors of each other.

Example 4:

E

C

8. Given : RECT is a rectangle. RX ≅ TY Prove : △ REY ≅ △ TCX

T

R

X

Y

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