Geometry: Midterm REVIEW and Study Guide (3rd Formative Test)
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
____
1. (1-2) Name the plane represented by the front of the box.
____
a. FBC
b. BAD
c. FEC
2. (1-2) Name the plane represented by the top of the box.
____
a. FBC
3. (1-4) If
____
a.
b.
4. (1-4) If
____
d. FKG
b. BAD
then what are
c. AID
and
d. BAE
The diagram is not to scale.
then what are
c.
d.
and
,
,
The diagram is not to scale.
,
,
a.
,
c.
,
b.
,
d.
,
5. (1-7) Jose wants to put a fence around his rectangular garden. His garden measures 33 feet by 39 feet. The
garden has a path around it that is 3 feet wide. How much fencing material does Jose need to enclose the
garden and path?
a. 120 ft
b. 156 ft
c. 168 ft
d. 84 ft
____
____
____
____
____
____
____
6. (1-7) Jose wants to put a fence around his rectangular garden. His garden measures 35 feet by 52 feet. The
garden has a path around it that is 3 feet wide. How much fencing material does Jose need to enclose the
garden and path?
a. 186 ft
b. 150 ft
c. 198 ft
d. 99 ft
7. (1-7) If the perimeter of a square is 72 inches, what is its area?
a. 72
b. 324
c. 18
d. 5,184
8. (1-7) If the perimeter of a square is 64 inches, what is its area?
a. 64
b. 16
c. 4,096
d. 256
9. (2-1) What is the converse of the following conditional?
If a point is in the first quadrant, then its coordinates are positive.
a. If a point is in the first quadrant, then its coordinates are positive.
b. If a point is not in the first quadrant, then the coordinates of the point are not positive.
c. If the coordinates of a point are positive, then the point is in the first quadrant.
d. If the coordinates of a point are not positive, then the point is not in the first quadrant.
10. (2-1) What is the converse of the following conditional?
If a point is in the fourth quadrant, then its coordinates are negative.
a. If a point is in the fourth quadrant, then its coordinates are negative.
b. If a point is not in the fourth quadrant, then the coordinates of the point are not negative.
c. If the coordinates of a point are not negative, then the point is not in the fourth quadrant.
d. If the coordinates of a point are negative, then the point is in the fourth quadrant.
11. (2-2) Is the statement a good definition? If not, find a counterexample.
A square is a figure with two pairs of parallel sides and four right angles.
a. The statement is a good definition.
b. No; a rhombus is a counterexample.
c. No; a rectangle is a counterexample.
d. No; a parallelogram is a counterexample.
12. (2-5) Name an angle supplementary to
a.
b.
____ 13. (2-5) Name an angle supplementary to
c.
d.
a.
b.
____ 14. (2-5) Find the values of x and y.
c.
4y°
112°
7x + 7°
Drawing not to scale
a. x = 15, y = 17
b. x = 112, y = 68
____ 15. (2-5) Find the values of x and y.
c. x = 68, y = 112
d. x = 17, y = 15
3y°
144°
2x + 8°
Drawing not to scale
a. x = 36, y = 144
c. x = 12, y = 68
b. x = 144, y = 36
d. x = 68, y = 12
____ 16. (3-1) Find the values of x and y. The diagram is not to scale.
(x – 3)°
41°
(y + 8)°
74°
d.
a. x = 77, y = 59
c. x = 57, y = 77
b. x = 77, y = 57
d. x = 41, y = 57
____ 17. (3-1) Find the values of x and y. The diagram is not to scale.
(x – 1)°
49°
(y + 6)°
64°
a. x = 65, y = 63
c. x = 61, y = 65
b. x = 65, y = 61
d. x = 49, y = 61
____ 18. (3-3) Find the values of x, y, and z. The diagram is not to scale.
38°
19°
56°
x°
z°
y°
a.
c.
b.
d.
____ 19. (3-3) Find the values of x, y, and z. The diagram is not to scale.
43°
14°
55°
x°
z°
y°
a.
c.
b.
d.
____ 20. (3-4) Find the missing angle measures. The diagram is not to scale.
125°
x°
124° y°
65°
a. x = 124, y = 125
c. x = 114, y = 56
b. x = 56, y = 114
d. x = 56, y = 124
____ 21. (3-4) Find the missing angle measures. The diagram is not to scale.
118°
x°
128° y°
74°
a. x = 116, y = 52
c. x = 52, y = 126
b. x = 52, y = 116
d. x = 126, y = 118
____ 22. (4-3) In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?
a.
c.
b.
d.
____ 23. (4-5) What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42°?
a. 69°
b. 84°
c. 138°
d. 96°
____ 24. (4-5) What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 38°?
a. 142°
b. 76°
c. 104°
d. 71°
____ 25. (4-5) Find the values of x and y.
(
(
A
|
|
y°
x°
B
47°
D
C
Drawing not to scale
a.
b.
____ 26. (4-5) Find the values of x and y.
c.
d.
(
(
A
|
|
y°
x°
B
60°
D
C
Drawing not to scale
a.
b.
c.
d.
____ 27. (5-1) B is the midpoint of
D is the midpoint of
and AE = 21. Find BD. The diagram is not to scale.
C
B
D
A
E
a. 42
b. 21
____ 28. (5-1) B is the midpoint of
c. 11.5
D is the midpoint of
d. 10.5
and AE = 11. Find BD. The diagram is not to scale.
C
B
D
A
a. 5.5
b. 11
____ 29. (5-1) Find the value of x.
E
c. 22
d. 4.5
16
3x – 4
a. 4
b. 8
____ 30. (5-1) Find the value of x.
c. 6.6
d. 6
c. 6
d. 9
c.
d.
18
2x – 3
a. 8
b. 10.5
____ 31. (5-3) Name a median for
|
A
E
)
|
D
)
C
a.
F B
b.
____ 32. (5-3) Name a median for
|
M
Q
)
|
P
)
O
a.
R N
b.
c.
____ 33. (5-4) What is the inverse of this statement?
If he speaks Arabic, he can act as the interpreter.
a. If he does not speak Arabic, he can act as the interpreter.
b. If he speaks Arabic, he can’t act as the interpreter.
c. If he can act as the interpreter, then he does not speak Arabic.
d. If he does not speak Arabic, he can’t act as the interpreter.
____ 34. (5-4) What is the inverse of this statement?
If she studies hard in math, she will succeed.
a. If she does not study hard in math, she will not succeed.
b. If she does not study hard in math, she will succeed.
c. If she studies hard in math, she will not succeed.
d. If she will succeed, then she does not study hard in math.
____ 35. (5-4) What is the contrapositive of this statement?
If a figure has three sides, it is a triangle.
a. If a figure is a triangle, then it does not have three sides.
b. If a figure does not have three sides, it is a triangle.
c. If a figure is not a triangle, then it does not have three sides.
d. If a figure has three sides, it is not a triangle.
____ 36. (5-4) What is the contrapositive of this statement?
If you have sea water, you can make salt.
a. If you do not have sea water, you can make salt.
b. If you can make salt, you do not have sea water.
c. If you can’t make salt, you do not have sea water.
d. If you have sea water, you can’t make salt.
____ 37. (5-4) Which two statements contradict each other?
I. Jon, Elizabeth, and Franco read 27 books among them for a class.
II. Franco read 6 books.
III. None of the three students read more than 7 books.
a. I and II
b. I and III
c. II and III
d. No two of the statements contradict each other.
____ 38. (5-5) Name the smallest angle of
The diagram is not to scale.
d.
C
5
7
A
____ 39.
____ 40.
____ 41.
____ 42.
____ 43.
6
B
a.
b.
c. Two angles are the same size and smaller than the third.
d.
(5-5) Which three lengths could be the lengths of the sides of a triangle?
a. 12 cm, 5 cm, 17 cm
c. 9 cm, 22 cm, 11 cm
b. 10 cm, 15 cm, 24 cm
d. 21 cm, 7 cm, 6 cm
(5-5) Which three lengths could be the lengths of the sides of a triangle?
a. 10 cm, 14 cm, 23 cm
c. 19 cm, 6 cm, 8 cm
b. 12 cm, 8 cm, 20 cm
d. 8 cm, 23 cm, 12 cm
(6-4) DEFG is a rectangle. DF = 5x – 5 and EG = x + 11. Find the value of x and the length of each diagonal.
a. x = 4, DF = 13, EG = 13
c. x = 4, DF = 15, EG = 15
b. x = 4, DF = 15, EG = 18
d. x = 2, DF = 13, EG = 13
(6-4) DEFG is a rectangle. DF = 3x – 2 and EG = x + 18. Find the value of x and the length of each diagonal.
a. x = 10, DF = 28, EG = 28
c. x = 10, DF = 28, EG = 32
b. x = 5, DF = 23, EG = 23
d. x = 10, DF = 23, EG = 23
(6-2) ABCD is a parallelogram. If
then
The diagram is not to scale.
A
D
B
C
a. 125
b. 65
____ 44. (6-2) ABCD is a parallelogram. If
A
D
a. 54
c. 75
then
d. 115
The diagram is not to scale.
c. 136
d. 79
B
C
b. 126
____ 45. (6-2) Find the values of the variables in the parallelogram. The diagram is not to scale.
29
102
y°
z°
x°
a.
c.
b.
d.
____ 46. (6-2) Find the values of the variables in the parallelogram. The diagram is not to scale.
39
112
y°
z°
x°
a.
b.
____ 47. (6-5) Find
c.
d.
in the kite. The diagram is not to scale.
|
3
1
2
B
||
||
D
39°
|
A
C
a. 51, 51
____ 48. (6-5) Find
b. 39, 39
c. 39, 51
in the kite. The diagram is not to scale.
d. 51, 39
|
3
1
2
B
||
||
D
16°
|
A
C
a. 74, 74
b. 16, 74
c. 16, 16
d. 74, 16
Geometry: Midterm REVIEW and Study Guide (3rd Formative Test)
Answer Section
MULTIPLE CHOICE
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1-2 Points, Lines, and Planes
1-2 Points, Lines, and Planes
1-4 Measuring Segments and Angles
1-4 Measuring Segments and Angles
1-7 Perimeter, Circumference, and Area
1-7 Perimeter, Circumference, and Area
1-7 Perimeter, Circumference, and Area
1-7 Perimeter, Circumference, and Area
2-1 Conditional Statements
2-1 Conditional Statements
2-2 Biconditionals and Definitions
2-5 Proving Angles Congruent
2-5 Proving Angles Congruent
2-5 Proving Angles Congruent
2-5 Proving Angles Congruent
3-1 Properties of Parallel Lines
3-1 Properties of Parallel Lines
3-3 Parallel Lines and the Triangle Angle-Sum Theorem
3-3 Parallel Lines and the Triangle Angle-Sum Theorem
3-4 The Polygon Angle-Sum Theorems
3-4 The Polygon Angle-Sum Theorems
4-3 Triangle Congruence by ASA and AAS
4-5 Isosceles and Equilateral Triangles
4-5 Isosceles and Equilateral Triangles
4-5 Isosceles and Equilateral Triangles
4-5 Isosceles and Equilateral Triangles
5-1 Midsegments of Triangles
5-1 Midsegments of Triangles
5-1 Midsegments of Triangles
5-1 Midsegments of Triangles
5-3 Concurrent Lines, Medians, and Altitudes
5-3 Concurrent Lines, Medians, and Altitudes
5-4 Inverses, Contrapositives, and Indirect Reasoning
5-4 Inverses, Contrapositives, and Indirect Reasoning
5-4 Inverses, Contrapositives, and Indirect Reasoning
5-4 Inverses, Contrapositives, and Indirect Reasoning
5-4 Inverses, Contrapositives, and Indirect Reasoning
5-5 Inequalities in Triangles
5-5 Inequalities in Triangles
5-5 Inequalities in Triangles
6-4 Special Parallelograms
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43.
44.
45.
46.
47.
48.
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A
D
A
D
C
C
B
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6-4 Special Parallelograms
6-2 Properties of Parallelograms
6-2 Properties of Parallelograms
6-2 Properties of Parallelograms
6-2 Properties of Parallelograms
6-5 Trapezoids and Kites
6-5 Trapezoids and Kites