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Name: ______________________________
Date: ___________
GEOMETRY SEMESTER EXAM REVIEW
The semester exam for geometry is comprehensive you are responsible for
material covered in Chapters 1-6.
Essential questions that you should be prepared to answer:
1) How do you represent points lines, parts of lines, planes and
describe how they relate to each other?
2) How do you describe a line segment from two points on a
coordinate plane using distance, midpoint, slope and the equation
of the line containing the segment?
3) Reasoning and Proof: Can you fill-in a proof using algebra? Can
you justify your reasoning using properties of equality, congruence
and the distributive property?
4) Can you describe and apply vertical angles, linear pairs, and all the
angle relationships created by parallel lines and a transversal?
5) How do you write and solve algebraic equations based on line
segments, parallel lines and transversals, triangle, polygon and
quadrilateral relationships?
6) What conditions can be used to prove triangle are congruent and
what conditions can’t be used. How do you classify triangles by
congruency theorem? Can you prove triangles and parts of
triangles congruent?
The problems below provide a sampling of material for you to review.
Check old quizzes, the Optional review online and your toolkit for more
help.
Name: ______________________________
Date: ___________
GEOMETRY SEMESTER EXAM REVIEW
1. If DF = 200, then find the value of x. Then find DE.
A. 13
B. 40
C. 163
D. Not Here
2. Which segment is NOT skew to segment GC ?
A. BD
B. FH
C. AD
D. GH
3. If two planes intersect, then they intersect in exactly _____.
A. one point
B. one line
C. one altitude
D. none of these
4. If AB = 19 and BC = 3, then AC = _____?
5. Which point is in the same plane as T, W, and S?
A. U
B. V
C. X
D. Z
6. If EF = 5w + 28, FG = 7w + 20, and EG = 60, find EF.
7. Noah walks home (8, 4) from school (2, –4) by walking 8 blocks north, then 6
blocks east. How much shorter would his walk be if there were a direct path from
the school to his house?
A. 10 blocks
B. 4 blocks
C. 14 blocks
D. 6 blocks
8. What is the intersection of plane ACG and plane DCG?
A. BF
B. GH
C. DH
D. CG
9. If m  DOE = 24° and m  EOF = 21°, then what is the measure of  DOF?
A. 3°
B. 45°
C. 90°
D. 180°
10. Find the coordinates of the midpoint of the segment connecting P(6, –6) and
Q(–2, 7).
A. (4, 1)
B. (2, 0.5)
C. (8, -13)
D. (4, -6.5)
11. Find the value of the variables.
12. In the figure shown, m  AED = 97. Which statement is false?
A. m  AEB = 83
B. m  BEC = 97
C. m  AEB and m  DEC are congruent angles.
D. m  BEC and m  CED are vertical angles.
13. Select the appropriate property of equality for the statement. If a = b, then a • c
= b • c.
A.
B.
C.
D.
Symmetric Property
Substitution Property
Multiplication Property
Reflexive Property
14. If  A and  B are supplementary angles and m  A = 4m  B, find m  A and
m  B.
15. The proof that x = 50 below can be justified by what properties
m∠AOC +m∠MOC =180 Definition of Supplementary
(2x+30)∘
x∘
(2x+30) + x = 180 ____________________
3x + 30 = 180 ___________________
3x = 150 ___________________
x =50
____________________
16. Find the value of x.
A. 58
B. 70
C. 5
D. 20
17. Select the appropriate property of equality for the statement. If a = b, and b = c,
then a = c.
A.
B.
C.
D.
Addition Property
Reflexive Property
Transitive Property
Multiplication Property
18. Classify the triangle with angles measuring 100∘, 60∘, and 20∘.
A. right
B. straight
C. acute
D. obtuse
19. Which of the following lines is NOT parallel to y = –4x + 3?
A. –8x – 2y = –2
B. y + 4x = –4
C. –4x – y = –2
D. –4y – x = –2
20. Which is the equation of the line that goes through the point (4, –5) and has slope ?
A. 5x – 4y =
5
4
B. 4y = 5x – 40
C. y =
5
x–5
4
D. Not here
21. The side of a pyramid is an isosceles triangle. If the measure of the top angle is
88°, what is the measure of a base angle?
A.
B.
C.
D.
92°
46°
134°
Not enough information
22. Find the value of the variable.
23. Find the value of the variable. The diagram is NOT to scale.
A. 101°
B. 32°
C. 21°
D. 79°
24. Find the equation of the line containing the points C(–12, 11) and D(3, 9). Then
find the equation of a line perpendicular to it through (-3,5)
25. Find FG.
A. 12
B. 4
C. 19
D. 15
26. Which theorem could be used to prove two triangles above congruent? Write a
congruency statement.
27. If DG = 20, what is the value of FD?
28. Which theorem could be use to prove DE = DG?
29. Which is an example of the symmetric property?
A.
B.
C.
D.
If a = b, and b = c, then a = c.
a=a
If a = b, then b = a
If y = 2x +7 and x = 3, then y = 2(3) + 7
30. Which is an example of substitution?
A.
B.
C.
D.
If a = b, and b = c, then a = c.
a=a
If a = b, then b = a
If y = 2x +7 and x = 3, then y = 2(3) + 7
31. Find the value of x.
A. 27
B. 30.5
C. 40
32. Find the value of x, y and the missing angles.
x
133
129
y
136
(x – 3)
125
D. 20