Name _______________________
Block _______
Date ____________________
Special Parallelograms
The diagonals of rectangle PQRS intersect at T. Given that m RPS= 62 and QS = 18, find the
indicated measure.
1. Find m QPR
3. Find ST
2. Find m PTQ
4. Find PR
Use rhombus RSTV with RS = 5y + 2, ST = 3y + 6,
NV = 6 and m STV = 60°
5. Find y.
6. Find TV.
7. Find m NTV.
8. Find m SVT.
9. Find m RST.
10. Find m SRV.
The diagonals of rhombus PQRS intersect at T. Given that m PQS= 49º and PT = 8, find the
indicated measure.
11. Find m QPR
12. Find m QTP
13. Find RP
14. Find QT
The diagonals of square ABCD intersect at E. Given that EB= 5 , find the indicated measure.
15. Find m ADC
16. Find m CBD
17. Find AE
18. Find AB
RSTV is a rhombus. Find each measure.
19. m∠WSR
ABCD is a rhombus. Find each measure.
20. AB
21. m∠ABC
Find the measures of the numbered angles in each rectangle.
22.
23.
24.
Find the measures of the numbered angles in each rhombus.
25.
26.
27.
A carpenter measures the diagonals of a piece of wood. In rectangle JKLM, JM = 25 in. and JP = 14
1/2 in. Find each length.
28. JL
29. KL
30. KM
31. MP
Classify the special quadrilateral. Explain your reasoning. Then find the values of x and y.
32.
33.
34.
Classify the parallelogram. Explain your reasoning.
35.
36.
37.
38.
39.
40.