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Geometry
Semester Exam
Review Assignment
Show all work on a separate sheet of work paper. Remember to follow the criteria for credit.
2c.
• If m<A < 40, then <A is acute.
Competency 1: Patterns / Reasoning
• <A is 35
1.
Use the following conditional
statement for the questions below:
If an angle is a right angle, then it has a
measure of 90.
2d.
• If m<A < 40, then <A is acute.
• <A is 45
3.
If the following two statements are
true, what conclusion can you reach?
a. Classify the statement as true or
false.
b. Write the converse of the given
statement.
• An isosceles triangle has at least two
sides with the same length.
• XYZ has three sides with the same
length.
b. Classify the converse as true or
false.
d. Write the inverse of the given
statement.
Competency 2: Geometric Terminology
e. Classify the inverse as true or false.
4a.
Sketch AD and AN such that they are
opposite rays.
4b.
Sketch AD and AN such that they are
not opposite rays.
5.
Briefly explain the difference between
f. Write the contrapositive of the given
statement.
g. Classify the contrapositive as true or
false.
For #2, if it is possible, state the conclusion
that can be made.
2a.
2b
Page 1
• If it is raining, then my dog gets wet.
• It is raining.
MN and MN .
• If it is raining, then my dog gets wet.
• My dog is wet.
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Geometry
Semester Exam
Review Assignment
10.
Sketch two lines cut by a transversal.
On your sketch, show a pair of same
side interior angles, by labeling them <1
and <2.
11.
Sketch a triangle to fit the description.
If not possible, write not possible.
Sketch a right equilateral triangle.
Use the following diagram for #6 and #7.
1
2 3
4
7
6
5
6a.
8
9
Identify a pair of complementary
angles.
12a.
6b.
Identify a pair of supplementary angles.
7a.
Identify a pair of vertical angles.
7b.
Identify a linear pair
For #8 and #9, use the diagram below to
classify each given pair of angles as alternate
interior angles, same side interior angles,
alternate exterior angles, corresponding
angles, or vertical angles.
a
A triangle with no sides congruent is
a(n) _____________ triangle.
12b. A triangle with all sides congruent is
a(n) _____________ triangle.
13c. A triangle with at least two sides
congruent is a(n) _________ triangle.
13d. A triangle with a 90 is a(n)
_________ triangle.
13e. A triangle with two 40 angles is a(n)
_________ triangle.
13f. A triangle with three angles with
measures less than 90° is a(n) _________
triangle.
14.
Sketch an obtuse triangle. Use
measurements and/or markings to show
that your triangle is the specified type.
b
1 2
3
4
5 6
7 8
8a.
<1 and <8
8b.
<2 and <3
9a.
<7 and <3
9b.
<5 and <4
Page 2
c
Competency 3: Segment Relationships
15.
Find the midpoint of MN if the
coordinates are: M(–2, 5) and N(–5, 1).
16.
M (3, -5) is the midpoint of AB . The
coordinates of A are (-4, 2). Find the
coordinates of B.
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Geometry
17.
21a.
Semester Exam
Find the distance between (2, –6) and
(4, 0). Round your answer to the
nearest tenth.
25.
Review Assignment
In the given
35
95
50
C
(14x +9) (3x +1)
Write the angle measures in order from
the least to the greatest.
A
6
C
3
B
23.
27.
7
A triangle has sides of 7cm and 20cm.
Describe the possible lengths of the
third side.
Sheri was given 8 feet of wire and told
to bend it in the shape of an isosceles
triangle. Sketch an isosceles triangle
that Sheri could have formed with the 8
feet of wiring.
(5x + 13)
(3x – 1)
(9x–80)
28.
x
y
For #29, use the drawing below:
Given: a || b and m || n
b
a
m
Competency 4: Angle Relationships
127
24.
If the value of x
is chosen at random
from {8, 10 , 15, 25 }, K
what is the probability
that <K is an acute angle?
(2x)
1
29a.
Page 3
C
For #26 – 28, find the value of the variable(s)
using the given diagrams.
26.
22.
N
B
Write the side lengths in order from the
B
least to the greatest.
A
21b.
A
diagram, BN is
an angle bisector.
If m<ABN = 3x – 7
and m<ABC = 70,
find x.
m<1 = ?
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n
2
29b.
m<2 = ?
Geometry
Semester Exam
Review Assignment
32b.
y
For #30, use the diagram below.
j
c
26
k
x
1 2
3 4
d
5 6
7 8
9 10
11 12
x
33.
(2x – 13) (x + 5)
30a.
If  6   7, which lines, if any, must be
parallel?
30b.
If  5   12, which lines, if any, must
be parallel?
30c.
If  6 and  4 are supplementary, which
lines, if any, must be parallel?
34.
Find the slope of the line passing
through (–1, 5) and (4, 5).
31.
Given that a || b, solve for x.
35.
Find the slope of the line passing
through (–6, 1) and (–2, 0).
36.
Write an equation of the line that has a
y-intercept of –3 and is parallel to the
graph of y = 4x + 2.
37.
Write an equation of the line that has a
y-intercept of –3 and is perpendicular to
the graph of y = 4x + 2.
38.
Given the coordinates of points A, B, C,
and D, use the slopes of the lines to
determine if AB and CD are parallel,
perpendicular, or neither.
A (–5, 1); B (0, –4); C (6, 2); D (1, 7)
Competency 5: Coordinate Geometry
t
(11x – 3)
a
b
(5x + 55)
For #32 and #33, use the given information in
the drawing to find the value of the variable(s).
x
32a.
140
Page 4
y
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Geometry
Semester Exam
Competency 6: Congruent Triangles
For #39-42,write the congruent triangles
from the given drawing, and write the reason
that they are congruent.
39.
C
Review Assignment
For #43 and #44, supply the missing
statements or reasons in the given partial
proofs.
43.
F
Given: AB  DE , BC  EF , AC  DF
Prove: <A  <D
A
E
B
D
D
C
F
E
G
A
40.
C
B
E
D
K
41.
M
L
Statement
1. AB  DE ,
BC  EF ,
AC  DF
Reason
1. Given
2. ABC  DEF
2. (answer 43a)
3. (answer 43b)
3. CPCTC
N
44.
A
B
Given: AB  CD , B
BC  AD
Prove: AB || CD A
C
D
42.
10 cm
D
10 cm
C
Competency 8: Perimeter, Circumference
and Area
45.
Find the perimeter and area of the given
triangle.
18 m
8m
48.
Page 5
5m
12 m
Statement
1. AB  CD ,
BC  AD
Reason
1. Given
2. (answer 44a)
2. Reflexive Property
3. BAD  DCB
3. SSS
4. <ABD  <CDB
4. (answer 44b)
5. AB || CD
5. If alt. int <’s are ,
then the lines are parallel
Find the perimeter
and area of the
figure to
the right.
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