ame: ________________________ Class: ___________________ Date: __________
Competency 3 Geometry Posttest
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
1. What is a net for the figure below?
a.
c.
b.
d.
2. Name the intersection of plane BPQ and plane CPQ.
←
→
a.
←
→
PQ
c.
CQ
←

→
____
b. BP
d. The planes need not intersect.
3. Find the circumference of the circle in terms of π .
a.
156π in.
b.
39π in.
c.
1
1521π in.
d.
78π in.
ID: A
ame: ________________________
____
ID: A
4. Find the area of the circle to the nearest tenth. Use 3.14 for π .
____
a. 30.5 in.2
b. 295.4 in.2
c. 60.9 in.2
d. 73.9 in.2
5. What is the converse of the following true conditional? If the converse is true, rewrite the statements as a
biconditional. If either is false, give a counterexample.
If two lines are parallel, they do not intersect.
a. If two lines do not intersect, they are parallel. One statement is false. If two lines do not
intersect, they could be skew.
b. If two lines do not intersect, they are parallel. One statement is false. If two lines are
parallel, they may intersect twice.
c. If two lines do not intersect, they are parallel. Both statements are true. Two lines are
parallel if (and only if) they do not intersect.
d. If two lines do not intersect, they are not parallel. Both statements are true. Two lines are
not parallel if (and only if) they do not intersect.
6. Find the value of x. The diagram is not to scale.
____
a. x = 23
b. x = 40
c. x = 13
d. none of these
7. Use the information in the diagram to determine the height of the tree. The diagram is not to scale.
____
a. 75 ft
b. 150 ft
c. 35.5 ft
8. What is the sum of the angle measures of a 36-gon?
____
a.
6480
b.
6300
c.
2
6840
d.
37.5 ft
d.
6120
ame: ________________________
____
ID: A
9. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
a. x = 4, y = 3
b. x = 3, y = 4
c. x = 3, y = 11
d. x = 3, y = 9
____ 10. Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles
is 14 inches long. What is the side length of each piece?
a. 7 3
c. 7 2
b. 7
d. 14 2
____ 11. The length of the hypotenuse of a 30°–60°–90° triangle is 5. Find the perimeter.
5 15
c.
+
3
a. 15 + 5 3
2 2
15 5
b. 5 + 15 3
d.
+
3
2
2
Find the area of the trapezoid. Leave your answer in simplest radical form.
____ 12.
a. 40 3 ft2
b. 16 3 ft2
c. 24 3 ft2
d. 32 3 ft2
____ 13. A regular hexagon has a perimeter of 150 m. Find its area. Leave your answer in simplest radical form.
1875
25
5625
a. 5625 3 m2
b.
3 m2
c.
3 m2
d.
3 m2
2
4
2
3
ame: ________________________
ID: A
____ 14. Find the surface area of the cylinder to the nearest whole number.
a.
1791 in. 2
b.
11281 in. 2
c.
3204 in. 2
Find x. Assume that any segment that appears to be tangent is tangent.
____ 15.
a.
b.
15
30
c.
d.
4
20
10
d.
5815 in. 2
ID: A
Competency 3 Geometry Posttest
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
A
A
D
D
A
A
A
D
B
C
D
D
B
C
A
1