Geo.
1.
SOL – Category 3
1
In the circle segment FH is a diameter. What is the radius of the circle?
G
F
35
E
63
45
H
2.
2
2
Plot the center and one point on the circle ( x − 5) + ( y + 2) = 36.
y
Center:__________
Point on circle:___________
x
3.
2
a)
4.
2
Given the circle equation ( x − 4) + ( y + 1) = 25 determine if the point is on or off the
circle.
(1, 4)
b) (-1, 5)
Find the value of x given the picture.
x
9
4
3
c) (0, -2)
d) (7, 3)
Geo.
5.
SOL – Category 3
2
Given two concentric circles. What is the difference in the length of arc AB and arc CD?
A
B
C
D
4
30°
3
6.
Find the area of the sector.
110°
5
7.
Find the measure of m∠ABC .
A
C
120°
150°
B
8.
Two consecutive points of a rectangle are shown. Plot another point that could be on the
rectangle.
Geo.
SOL – Category 3
3
9.
The two cylinders are similar. What is the combined surface area of the smaller and
larger cylinder?
10.
A cube has volume 125 cubic inches. What is the surface area of the cube?
11.
What is the volume and surface area of the solid?
12.
Two similar solids are similar. The smaller solid has a lateral area of 54.4 square inches
and the larger solid has a lateral area of 85 square inches. The height of the smaller
figure is 9 inches. What is the height of the larger solid?
Geo.
13.
SOL – Category 3
4
In the parallelogram below, what will allow you to conclude that it is a rectangle?
∠ABC is a right angle
∠BAE ≅ ∠DAE
BE=BC
B
BE = AE
C
AC = BD
E
BC = CD
14.
A
D
In the rhombus below find the value of x.
B
31°
x°
C
E
A
15.
D
Find the value of x. Both polygons are regular polygons.
x°
16.
In a regular polygon the interior angle is 140o and the exterior angle is 40o. How many
sides does the polygon have?
17.
Find the sum of the largest and smallest angle.
3x + 30
2x + 50
2x + 20
5x + 20
4x + 10
4x + 10