Download 1 - Humble ISD

Name:___________________________________________________Period:___________Wiggins
1.
Geometry Spring Final Review
Draw a picture of a triangle reflection.
2.
Draw a picture of a trapezoid translation.
3.
∆NPQ has vertices N(-3,-4), P(-8, 4), and Q(2, 1).
If the triangle is rotated 90 degrees about the
origin, what are the coordinates of P’ ?
Remember : (x,y)  (-y,x)
6.
7. Rectangle DEFG and rectangle HJKL are similar.
Find the similarity ratio.
8.
4.
The Washington Memorial has a height of 555
feet 5⅛ inches. If you made a scale drawing using
the scale 1 in : 55 ft, what would be the height in
the drawing?
Find x.
Given A(3,2), B(6,3), C(6,7), D(-2,6) find A’B’C’D’
using vector
3, 2
.
9. Given that two points on line m are P(8, 4) and
Q(13, 7). Write a ratio of the slope of line m.
10. Find the surface area of a cube with 11 inch
edges.
11. Find the scale factor that maps ∆ABC onto
∆A’B’C’
5.
Find AB. B  E
12. Katie is making a table for her little sister’s doll
house. She wants the table top to be similar to
their real table top in their kitchen. Find the width
of the miniature table top to the nearest tenth of a
centimeter.
17.
Find the surface area.
5m
3m
12 m
18.
Find the lateral area in terms of π.
6 m
13.
Solve the proportion.
14.4 10.8

64 288y
10 m
14.
Write the trigonometric ratio for cosJ as a
fraction and reduce.
15.
Find TR. Round to the nearest whole number.
19.
What is the height of a right rectangular
prism with surface area 1399.68 m2, length 10.8m,
and width 14.4m?
20.
A rectangular swimming pool has a volume of
11,340 cubic feet, a depth of 12 feet, and a length
of 63 feet. What is the width of the swimming
pool?
Use this picture for #21-23
16.
Find the volume.
5 in
6 in
8 in
21.
Describe
EF .
22.
Describe
AB .
23.
Describe
GJ
24.
Find the length of
LM .
29.
Find the value of x.
30. Find the diameter of a sphere with volume
288 π in3.
25.
π?
What is the area of the sector POM in terms of
31. Find the volume of a sphere with diameter
42 feet. Give your answer in terms of π.
P
54º
M
O
32. Find the surface area of a sphere with a
diameter of 26 km. Round to the nearest
hundredths.
4 cm
33. Find mBPD.
C
26. What is the length of arc JL?
B
172°
164º
146º
128°
P
A
D
34. Find the value of x and the length of each
chord.
27.
28.
What is the m LMN?
What is the measure of arc PN?
35. Write the equation of a circle with center
(-5, 7) and radius 6.
36. Find the area of the parallelogram.
37. Find the area of
in terms of
.
38. Find the area of the trapezoid.
42. The central angle of an arc measures 12°. The
radius of its circle is 30 inches. What is the length
of the arc to the nearest quarter of an inch?
43. Find the area of a regular hexagon with side
length 4 m. Round to the nearest tenth.
4m
39. Find the mA.
apothem
2m
44. Find the geometric mean of 6 and 10.
45. Find the area of the composite figure.
9 ft
40. Find the value of x. Round to nearest
hundredths.
12 ft
18 ft
9 ft
41. Find the value of x. Round to nearest
hundredths.
K
x
M
N
46. Find the length of arc JK. Give your
Answer in terms of π.
J
3
J
72 
K
2.5
5 cm
5.9
L
47. What is m arc UV?
A. 70˚
B. 80˚
C. 100˚
D. 122˚
U
54. Find the sum of the interior angle measures of a
convex heptagon.
V
6x-20
5x+5
4x+20
O
W
T
48. Which of these arcs has
J
a measure of 134˚ ?
H
A.arc FJ B. arc EG
C. arc DF D. arc DH
D
55. If DEFG is a square, find m  DEG.
56. Given rectangle ABCD, if AC = 52, then
DX =
.
20 
46 
G
E
F
49.Tell whether the figure is a polygon. If it is, tell
whether it is convex or concave.
A not a polygon
B polygon, convex
C polygon, concave
57. For the trapezoid shown below, find the
measure of the midsegment.
50. In the following parallelogram, find FI.
58. Identify the quadrilateral which has one pair of
parallel sides.
51. The measure of each exterior angle of a
regular octagon is
.
52. The measure of each exterior angle of a
regular hexagon is
.
53. The measure of each interior angle of a
regular octagon is
.
59. Given parallelogram TAXI , m  ITA=4y+12 and
m  IXA=2y+48, find m  IXA.
60. Given rhombus WXYZ and m  1=27, find m  5.
66. In a square,
a. opposite angles are equal.
b. opposite sides are equal.
c. diagonals bisect the angles of the square.
d. all of these.
61. In the figure TAMU below, which angles are
congruent?
67. Which statement is true?
a. All rectangles are squares.
b. All quadrilaterals are parallelograms.
c. All parallelograms are quadrilaterals.
d. All quadrilaterals are squares.
68. If CDEF is a rectangle and CD=6, what is EF ?
62. In an isosceles trapezoid ABCD, leg AB=2y+7,
base BC=10y+9, and leg CD =6y+5. Find y.
63. A regular
congruent.
a.
b.
c.
polygon has all its sides and angles
always
sometimes
never
64. One way to prove that a quadrilateral is a
parallelogram is to show that:
a. it has one pair of congruent sides
b. it has one pair of parallel sides
c. the diagonals bisect each other
d. the diagonals are congruent
65. Give the most precise name for a regular
quadrilateral.