Download Geometry CP Name_________________________________ Final

Geometry CP
Final Review
Name_________________________________
Block___________ Date__________________
True or False
1. The formula for area of a kite is A d1d 2 .
___________
2. Diagonals are bisected in a rhombus.
___________
3. A trapezoid is a parallelogram.
___________
4. If the diagonals of a parallelogram are equal, then the figure is a rectangle.
___________
5. Every rectangle is a square.
___________
6. 8 cm is the radius of a circle with an area of 19
cm2 .
___________
7. A square is a rhombus.
___________
8. The perimeter of a square with a side length of 9 cm is 36 cm.
___________
9. A trapezoid may be equilateral.
___________
10. The diagonals in a rectangle are always perpendicular.
___________
11. In a 30-60-90 triangle the hypotenuse is
3 times the short leg.
___________
12. If the hypotenuse of a 45-45-90 triangle is 5, what is the measure of the leg?
a.
5 2
2
b.
5 2
c.
5 3
3
d.
10
13. The length of the legs of a right triangle are 4 cm and 7 cm. Find the length of the hypotenuse.
a.
33
b.
2 13
c.
65
d.
2 5
1
14. Find sin A.
15.
a.
5
12
b.
5
13
c.
12
13
d.
12
5
Find m B to the nearest degree.
a.
22o
b.
24 o
c.
67 o
d.
7o
16. Use the figure at the right to determine FG.
a.
4.2
b.
4.7
c.
9.1
d.
23.6
17. Find the value of x and y. Round to the nearest whole number.
a.
x = 29°, y = 61°
b.
x = 64°, y = 26°
c.
x = 26°, y = 64°
d.
x = 61°, y = 29°
18. By definition, a parallelogram is a quadrilateral whose:
a. opposite sides are equal
b. opposite sides are parallel
c. diagonals bisect each other
d. all of the above
2
19. The opposite angles of a parallelogram are:
a. Equal
b. Supplementary
c. Complimentary
d. None of the above
20. Every trapezoid is a:
a. Square
b. Quadrilateral
c. Parallelogram
d. None of the above
21. If the diagonals of a quadrilateral are equal, then the quadrilateral can be a (circle ALL answers that apply)
a. Rectangle
b. Trapezoid
c. Rhombus
d. Kite
22. If the diagonals of a quadrilateral bisect each other at right angles, the figure is a:
a. Rectangle
b. Trapezoid
23. Find the value of x and WP if WY
c. Rhombus
3x 20 and ZX
d. Kite
6x 16.
x = _______________
WP = _____________
24. Given Rhombus ABCD solve for the following:
a. m AED
______
b. m DAC
c. m ADC
______
d. DB= ______
e. AE= ______
______
f. AC= ______
3
26. Given square DEFG and EF = 12 find the indicated measures. Write answers in simple radical form.
a. m FHG
c. HG
______
______
b. m EDH
d. FH
______
______
27. Find the following in the trapezoid below, given that the m DAB
5x 22 and the m ABC
3x 6 .
a. x = __________
b. m ABC
_______
c. m ADC
_______
28. Find the value of x
x = ______________
29. A trapezoid has midsegment of 13 and one base of 21. Find the other base.
b = ______________
30. A trapezoid has midsegment of (2x+4) and bases (3x+2) and (2x+1). Solve for x.
x = ______________
4
31. Given kite WEST, find the measure of
E.
m E
___________
32. Given kite ABCD, BE = 12, BC = 20 and the m ABC 105 and the m DAB 85 , find the indicated
measures.
m DCB
___________
EC = ___________
33. Find the radius.
34. Find the value of x.
r =___________
x =___________
35. Given that the mNQM
255 , find the m MPN.
m MPN
5
___________
36. Given that the m G 55 , find the mDF .
mDF
37. If the mAC
60 , find the m AB.
__________
38. Find a and b.
.
m AB. = _________
a = __________, b = __________
39. Find the value of x.
40. Find the value of x.
x = __________
x = __________
6
41. Find the value of x.
42. Find the value of x.
x = __________
x = __________
43. Find x and y.
25
7
x
x = __________ y = __________
y
44. Find the area and perimeter of a right triangle with a hypotenuse of 20 cm and a leg of 16 cm.
Perimeter = ______________
Area = ______________
45. Find the base of a parallelogram if the height is 20 cm and the area is 340 cm2.
base = ______________
46. Find the height of a trapezoid if the sum of the bases is 26 ft and the area is 312 ft2.
height = ______________
7
47. Find the area of the kite.
area = ______________
49. Find the value of x, given the Area = 276 ft2.
x = ______________
50. Find the value of x if the Area = 476 cm2.
51. Find the value of x if the Area = 36 in2.
x = ______________
x = ______________
52. .
Find the area of the kite.
area = ______________
.
8
53. Find the circumference and area of the circle using the given information.
r =5
C=______________ A=_________________
d=16
C=______________ A=__________________
54. Write out the formulas for finding the arc length and area of a sector of a circle
Arc Length
Sector Area
55. Find the area of the sector of a circle if the radius is 12 m and the arc measure is 120 .
a)
b)
c)
d)
56.
Find the measure of the central angle if the arc length is 4
a)
b)
c)
d)
57.
25.12 m2
150.72 m2
376.8 m2
452.16 m2
ft and the radius is 16ft.
4
8
45
60
Find the radius of a circle if the area of one sector is 9 m2 and the measure of the central angle is 90 .
a)
b)
c)
d)
3m
4m
6m
36 m
58. Find the arc length of the circle with the radius of 10 cm and central angle measure of 72 .
a)
b)
c)
d)
12.56 cm
15.7 cm
62.8 cm
78.5 cm
9
59.
Find the m AB given the corresponding arc length
and the radius.
60. Find the area of sector FDE.
area = ____________
mAB
_________
61. Find the radius given the central angle and the corresponding area of the sector ( A).
r = ______________
62. Find the value of x.
63. Find the following arc measures and label the
arcs as minor, major or semicircles.
mMRQ
x = ______________
mPQ
mRPM
10
_________, __________
_________, __________
_________, __________
64. Find the values of x and y in simplified radical form, where appropriate, in the figure below.
60°
10
x
x = ___________
y = ___________
y
65. Find the length of each side of the square. Answer must be in simplified radical form.
s = __________________
66. Find the value of x and y. Answer must be in simple radical form when necessary.
x = _________________
y = _________________
67. Find the value of x.
x = __________
68. Find the sum of the measures of the interior angles of a 11-gon.
____________
69. The measure of each exterior angle of a polygon is 45o. Find the number of sides of the polygon.
___________
11
70. Find the measures of an interior and exterior angle of a regular pentadecagon.
________________________
71. The measure of an interior angle of a regular polygon is 120o. Find the number of sides of the polygon.
____________
72. If the exterior angle of a regular polygon measures 36o, find the sum of the measures of the interior angles.
___________
74. The sum of the interior angles of a polygon are 1440o. Name the polygon.
__________________
75. The measures of the interior angles of a pentagon are x, 3x, 2x – 1, 6x – 5, and 4x + 2. Find the measure of
each angle.
_________________________________
76. Use the given information to solve the triangle. (Round everything to nearest tenth)
m
R = ________
m
T = ________
RS = __________
T
14.7
9.3
S
R
12
S