Page 27 - Math Course 3 (Book 2)

Properties of Rectangles

Skill Practice!

ALGEBRA ABCD is a rectangle.
1. If AC = 2x + 13 and DB 4x – 1, find x. A B

E
2. If AC = x + 3 and DB 3x – 19, find AC.

3. If AE = 3x + 3 and EC 5x – 15, find AC. D C

4. If DE = 6x – 7 and AE 4x + 9, find DB.

5. If m∠DAC = 2x + 4 and m∠BAC 3x + 1, find x.

6. If m∠BDC = 7x + 1 and m∠ADB 9x – 7, find m∠BDC.

7. If m∠ABD = x² – 7 and m∠CDB 4x + 5, find x.

8. If m∠BAC = x² + 3 and m∠CAD x + 15, find m∠BAC

PRST is a rectangle. Find each measure if m∠1 = 50.
9. m∠2 10. m∠3

11. m∠4 12. m∠5
P R
2 3
1 4
9
13. m∠6 14. m∠7 8
7
T 6 5 S

15. m∠8

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