Download Mixed Parallelograms Practice

Geometry Part 2
Unit 7 Day 5 – Mixed Parallelograms Practice
Name ____________________________
State if the following are TRUE or FALSE.
1. Every square is a parallelogram. __________
2. Every rhombus is a parallelogram. __________
3. Every parallelogram is a rhombus. __________
4. Every rectangle is a rhombus. __________
5. Every rhombus is a rectangle. __________
6. Every square is a rhombus. __________
9. Label all angles in the parallelogram:
7. Every rhombus is an equilateral quadrilateral.
__________
8. Every rhombus is an equiangular quadrilateral.
__________
95
10. In rectangle PQRS, if PR = 4x –10 and SQ = 26, find x.
11. The lengths of the diagonals of a rhombus are 16 and 30. What is the length of a side of the rhombus?
12. The length of one side of a square is 12, find the length of the diagonal.
13. The diagonals of parallelogram ABCD meet at point E. If AE = 10 and AC = 4(x + 1). Find x.
14. In rectangle ABCD with diagonal ̅̅̅̅
𝐴𝐶 drawn. If mDCA = 53, find mCAD.
15. In parallelogram ABCD, the mA is 4x + 14 and mB = 2x +46, what is mA?
16. The diagonals of rectangle ABCD intersect at E. If DE = 3x +1 and EC = 2x + 7, find the value of x.
17. In rectangle ABCD, AB = 7 and BC = 24, find AC.
18. In square COLD, CO = 2x + 3, and OL = 15 – x. Find the length of a side, and the perimeter.
̅̅̅̅ .
19. The diagonals of rectangle RSTV intersect at Q. If VQ = 2x + 5, and RT = 6x - 4, find the length of 𝑆𝑉
20. In square JANE, mJAN = 7x + 6. Find the value of x.
21. Each side of a rhombus is 2x + 7. If the perimeter of the rhombus is 52 inches, find x.
22. Label all angles of the rectangle shown. If mLMP = 35, find the following measures:
mMPL = ________
M
mMPJ = ________
L
P
mJKM = ________
mLKM = ________
J
K
23. Using the diagram of square SNOW where the diagonals intersect at Y, find each of the following:
a. NO = _____
b. NW = _____
c. SY = _____
d. m∠OSN = _____
e. m∠WYO = _____
f. m∠NOY = _____