Geometry – Spring Practice Final
1. Solve the proportion
2 10

w 75
2. Solve the proportion
x  2 15

x  10 21
3. Jeremy’s house is 540 inches wide. In
a photograph the width of the house was
2.5 inches, and its height was 2 inches.
What is the actual height of Jeremy’s
house?
A
B
C
D
216 inches
312 inches
394 inches
432 inches
4.
7. Olga plans to take a trip from her
house in San Marcos, Texas, to a
friend’s house in Zapata, Texas. She
measured the distance between the two
places on a map and found it to be 8
1
inches. If the scale on the map is inch
2
represents 14 miles, which is closest to
the actual distance in miles between the
two places?
F
G
H
J
112 mi
224 mi
56 mi
44 mi
8. Find the circumference of
in
terms of .
Find the ration of the perimeters
of Jeremy’s house to the picture
of his house.
Q
12 in.
5. Find the ration of the areas of
Jeremy’s house to the picture of
his house.
6. At 3:00 in the afternoon, a
student was waiting by the flag
pole for his aunt to pick him up.
While he was waiting, he
wondered how tall the flag pole
was. He is 5 ½ foot tall, and his
shadow is 4 foot. The shadow of
the pole is 22 feet. Find the
height of the flag pole.
9. 24. Pentagon PQRST is graphed on
the coordinate grid below.
Which of the following points would be
the location of S’ if
pentagon PQRST is dilated by a scale
factor of 2 and has a
center of dilation at (0, 0)?
F
G
H
J
(−6, 4)
(2, −6)
(4, −6)
(4, −3)
15. Which is the net of a triangular
prism?
10. Find the perimeter of the
triangle.
5x +12
6x+1
A.
C.
B.
D.
3x -5
11. Find the area of a trapezoid, in
which
11 cm
2 cm
16. The 3-dimensional figure shown
16 cm
below represents a structure that Corina
built with 9 cubes.
12.
The area of a rectangle is 144j9k15
square units. If the width of the
rectangle is 8j4k5 units, what is the
rectangle’s length?
A
B
C
D
18j5k10 units
136j5k10 units
152 j13k20 units
1152 j13k20 units
Which of the following best represents
the top view of Corina’s 9-cube
structure?
A
B
C
13. Find the area of this triangle.
6 in
10 in
8 in
17. Find the volume of the rectangular
prism shown.
6 in
14. A cube measures 7 inches on each
side. What is the total surface area?
42in
9 in
A. 1512 in3
C.
2268 in3
1008 in3
D.
3888 in3
B.
D
18. Find the lateral surface area of a
cylinder with a radius of 12
meters and a height of 18 inches.
23. Find x
x
86
19. Find the measure of x. K is the
center .
98
A
B
100
K
x
40
24. Find the arc length of the shaded
area.
B
A
2m
E
250º
C
D
25. What is the equation of the
circle?
20. m D  _______
120
10
D
21. Find the area of the shaded
sector.
B
A
26. Find x
32°
15
2m
250º
27. Find x
x
15
x
22. Find m<X = __________
Z
Y
40°
28. Find x
X
x
18
mYZ=85
22°
29. A 12 foot ladder is leaning against a
house. If the ladder reaches 8 feet up the
house, what angle is formed by the
ladder and the house?
30. sin x° =
36. Triangle CAT is shown on the
coordinate
plane. Which transformation would
have one
vertex located at (1, -2)?
6
11
C
31. tan 32°
T
A
32. Kate has 2 similar triangular pieces
of paper, as shown below.
Using the dimensions given, find the
approximate length of the side labeled p.
24 cm
72 cm
15 cm
37. Write the equation of the line of
symmetry.
p
33. List the 3 valid ways to prove
triangles are similar.
34. What is the similarity ratio of
DEF to YXZ ?
D
X
Y
6
E
10
F
Z
35. Complete the similarity ratio.
DEF to __________.
9
Q
B
50o
R
6
A
50o
8
A Reflect across the x-axis.
B Translate down 3 units and left 1
unit.
C Reflect across the y-axis.
D Rotate 90° around the origin.
C
12
P
38. Reflect the triangle over the x axis.
List the new coordinates.
41. If quadrilateral MNPQ is
reflected across the y-axis to
become M N PQ , what will be
the coordinates of P  ?
39. Identify the location of Point X
under translation (x – 3, y + 5).
X  (___, ___)
42. How many faces, edges, and
vertices does a hexagonal
pyramid have?
X
43. Write the equation for the
following circle.
40. Parallelogram WXYZ is shown
on the grid. If WXYZ is
reflected across the line y = x
and then translated 2 units up to
become W”X”Y”Z”, what will
be the coordinates?
W
X
Z
Y
Name each polygon. Be as specific as possible.
a)Concave or Convex
b) equilateral , equiangular, regular
44.
45.
c) name by number of sides
44. a)___________ b) ___________ c)___________
45. a)___________ b) ___________ c)___________
46.
47.
46. a)___________ b) ___________ c)___________
47. a)___________ b) ___________ c)___________
48. What is the best name for each of the following quadrilaterals?
49. Solve for the length of
AD in parallelogram ABCD.
B
2x + 15
A
3x – 6
D
8x – 3
50. What is the correct name for figure ABCD, with vertices
A (2, 1), B (3, 6), C (8, 7), and D (7, 2)?
51. What is the sum of the interior angles of a 24-gon?
C
51. Given the following rectangular prism, answer the following questions about a similar prism in which the
dimensions have been tripled.
6 ft
4 ft
10 ft
a) What are the new dimensions?
________, ________, ________
b) What is the new volume?
V=______________
c) The volume of the new prism is _____ times
larger than the volume of the original prism.