NAME:________________________________
GEOMETRY Midterm Review Worksheet-CHAPTER ONE
1.
Name the undefined terms in Geometry. (1.3)
2.
Where do two lines intersect at? (1.3)
3.
Where do two planes intersect at? (1.3)
4.
How many points are needed to name a plane? (1.3)
5.
How many points are needed to name a line? (1.3)
Use the figure to the left to answer #6-9
6.
What is the intersection of Plane AEDF and Plane CDFH? (1.3)
7.
Name the Top of the figure above. (1.3)
8.
What is the intersection of
9.
Name the edge through point B and point C. (1.3)
Geometry Midterm Review Worksheets
and
? (1.3)
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Use the figure at the left to answer #10-13
10.
Find the intersection of Plane GKPL and GHKJ. (1.3)
11.
Name the intersection of
12.
Name the left side of the figure above. (1.3)
13.
Name the edge through point H and point M. (1.3)
14.
Name the opposite rays. (1.4)
15.
Name the ray opposite
and
. (1.3)
D
(1.4)
C
B
A
Geometry Midterm Review Worksheets
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16.
Name all segments parallel to BC. (1.4)
17.
Name all segments skew to AG. (1.4)
18.
Use for #16-17
Use the figure to find each of the following. (1.5)
a. x
b. MR
c. RP
d. MP
19. PQ = 56. Use the figure to find each of the following. (1.5)
a. x
b. PL
c. LQ
d. PQ
20.
M is the midpoint of LN. LM = 4x – 3 and MN = 5x – 10. Find x and LN. (1.5)
Geometry Midterm Review Worksheets
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21.
C is the midpoint of AB. Find x and AB. (1.5)
22.
H is the midpoint of GJ. GH = 3x and HJ = x + 16. Find x and GJ. (1.5)
23. Name an angle or angles in the diagram described by each of the following. (1.6)
a.) complementary to
b.) supplementary to
c.) adjacent and congruent to
d.) vertical angle with
24.
Name an angle or angles in the diagram described by each of the following. (1.6)
a.). supplementary to
b.) complementary to
c.) congruent to
d.) a pair of vertical angles
Geometry Midterm Review Worksheets
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25.
If m1 = 10x +4 and m2 = 7x - 3 and mCBD =46, what is x? (1.6)
26.
Find x. (1.6)
27.
Find x. (1.6)
28.
Find the distance between
29.
Find the distance between N(1, 0), P(3, 8). (1.8)
30.
Find the midpoint of A(6, 7), B(4, 3). (1.8)
Geometry Midterm Review Worksheets
. (1.8)
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31.
Find the midpoint of
32.
Find the perimeter & area of the figure. (1.9)
33.
Find the perimeter & area of the figure. (1.9)
34.
Find the circumference of the circle and leave answer in terms of π. (1.9)
Geometry Midterm Review Worksheets
. (1.8)
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35.
Find the circumference of a circle with the radius of 8 cm and leave answer in terms
of π. (1.9)
36.
Find the AREA of the circle and leave answer in terms of π. (1.9)
37.
Find the AREA of a circle with the radius of 10 in. and leave answer in terms of π.
(1.9)
38.
If Mary was planting flowers to go around her bird bath in the back yard, it is in the
shape of a circle. When deciding how many flowers she is going to need, will she be
using the perimeter of the space around her bird bath or the area of the space?
39.
Draw the next figure in each sequence. (1.1)
a.)
b.)
Geometry Midterm Review Worksheets
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40. Find a pattern for each sequence. Use the pattern to show the next two terms.
(1.1)
a.) 17, 23, 29, 35, 41,
b.) 1.01, 1.001, 1.0001,
c.) 12, 14, 18, 24, 32,
GEOMETRY Midterm Review Worksheet-CHAPTER TWO
41.
42.
43.
Identify the hypothesis and conclusion of each conditional. (2.1)
a.)
If
, then
.
b.)
If you want to get good grades in school, you must study hard.
Show that each conditional is false by finding a counterexample. (2.1)
a.)
If it is not January, then it must be June.
b.)
All vegetables are carrots.
Is each statement a good definition? If not, find a counterexample. (2.1)
a.)
Two lines that do not intersect are parallel.
b.)
A rectangle is a four-sided figure with four right angles.
Geometry Midterm Review Worksheets
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44.
45.
Write the converse of each conditional. (2.1)
a.)
If you drink milk, then you will be strong.
b.)
If a rectangle has four sides the same length, then it is a square.
c.)
If you do not sleep, you will be tired.
Each conditional statement (𝒑 → 𝒒) is true. Consider each converse (𝒒 → 𝒑).
If the converse is true, combine the statements and write them as a
biconditional, 𝒑 ↔ 𝒒. (2.2)
a.)
If two angles have the same measure, then they are congruent.
b.)
If
c.)
If
d.)
If a figure has eight sides, then it is an octagon.
, then
, then
Geometry Midterm Review Worksheets
.
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46.
Write the two conditional statements that make up each biconditional. (2.2)
(Write 𝒑 → 𝒒 and 𝒒 → 𝒑 , given 𝒑 ↔ 𝒒.)
a.)
A whole number is a multiple of 5 if and only if its last digit is either a 0 or a 5.
b.)
Two lines are perpendicular if and only if they intersect to form four right
angles.
c.)
You live in Texas if and only if you live in the largest state in the contiguous
United States.
47.
Solve for x. (2.5)
48.
Solve for y. (2.5)
49.
Solve for z. (2.5)
50.
Solve for x. (2.5)
Geometry Midterm Review Worksheets
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51.
Solve for x. (2.5)
52.
Solve for y. (2.5)
GEOMETRY Midterm Review Worksheet-CHAPTER THREE
53.
Classify each pair of angles as alternate interior angles, same-side interior
angles, or corresponding angles. (3.1)
a.
b.
c.
d.
e.
f.
Geometry Midterm Review Worksheets
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Use the figure on the right to answer Exercise 2-4. (3.1)
54. Name all pairs of corresponding angles.
55. Name all pairs of alternate interior angles.
56. Name all pairs of same-side interior angles.
Find
and
. Explain how you determined your answer. (3.1)
57.
58.
59.
Find the value of x. Then find the measure of each angle. (3.1)
60.
Geometry Midterm Review Worksheets
61.
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Use the picture at the right for #62-64. (3.1)
62.
If l m ,  4 &  6 are what kind of angles?
1
2
3
l
4
What does that tell you about them?
5
6
7
8
m
63.
If l m ,  3 &  6 are what kind of angles? What does that tell you about them?
64.
If l m ,  3 &  7 are what kind of angles? What does that tell you about them?
Find the value of x for which
65.
. (3.2)
66.
67.
Find the value of each variable. (3.4)
68.
69.
Geometry Midterm Review Worksheets
70.
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Find the value of each variable. (3.4)
71.
72.
73.
74.
Define regular polygon and draw a picture of an example of a regular hexagon. (3.5)
75.
Find the missing variable. (3.5)
a.
b.
c.
d.
e.
f.
Geometry Midterm Review Worksheets
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76.
77.
For a regular pentagon, find each of the following.
a.
the measure of an exterior angle
b.
the measure of an interior angle
For a regular hexagon, find each of the following.
a.
the measure of an exterior angle
b.
the measure of an interior angle
The measure of an interior angle of a regular polygon is given. Find the number of sides.
78.
120
79.
108
81.
Find the perimeter of the triangle. Classify
equilateral.
82.
Find the perimeter of the triangle. Classify
equilateral.
80.
135
as scalene, isosceles or
as scalene, isosceles or
C
5
A
6
7
B
Geometry Midterm Review Worksheets
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83.
Classify the triangle with angle measures of 77, 83, and 20 as acute, obtuse,
equilateral or right.
84.
Classify the triangle as acute, obtuse, equilateral or right.
Are the lines parallel? Explain. (3.6)
85.
86.
87.
88.
89.
90.
Geometry Midterm Review Worksheets
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Find the slope of the line perpendicular to the given line. (3.6)
91.
92.
93.
94.
Line through the points (2, 3) & (1, 6)
GEOMETRY Midterm Review Worksheet-Chapter FOUR
Choose the correct postulate or theorem to prove the triangles are congruent.
(SSS, SAS, ASA, AAS or HL)
95.
96.
97.
98.
Geometry Midterm Review Worksheets
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Choose the correct postulate or theorem to prove the triangles are congruent.
(SSS, SAS, ASA, AAS or HL)
99.
100.
101.
102.
103. In the figure below, if:
a.)
BCDE is congruent to OPQR, then
and
b.)
D
Find
H
A
B
is congruent to
E
C
G
Drawing not to scale
F
Geometry Midterm Review Worksheets
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104. Name the angle included by the sides
N
and
M
P
105. Find the values of x and y.
(
(
A
|
|
y°
x°
B
68°
D
C
Drawing not to scale
106. What is the measure of a base angle of an isosceles triangle if the vertex angle
measures 46° and the two congruent sides each measure 21 units?
46°
21
21
Drawing not to scale
Geometry Midterm Review Worksheets
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107. What is the measure of the vertex angle of an isosceles triangle if one of its base
angles measures 58°?
108. Find the value of x and each side length given the perimeter of the triangle is 90.
Classify the triangle as scalene, isosceles or equilateral. (4.5)
3x-11
5x+2
x
109. Find the value of x and each side length given the perimeter of the triangle is 75.
Classify the triangle as scalene, isosceles or equilateral. (4.5)
2x+15
4x-8
11x
Geometry Midterm Review Worksheets
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110. Find the value of x.
|
|
S
(2 x – 20)°
(8 x )°
R
T
U
111. Find the value of x.
|
|
S
(4 x – 40)°
R
(6 x )°
T
U
REVIEW WORKSHEET FOR GEOMETRY MIDTERM-CHAPTER FIVE
For #1-4, identify which point of concurrency point P is in each triangle. Then identify what
types of lines intersect to form point P. (5.3)
112.
113.
114.
115.
Geometry Midterm Review Worksheets
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116. Name the parallel segments in the triangle if A, B, and C are all midpoints of the
sides. (5.1)
117. In EFG , H, J, and K are midpoints. Find HJ, JK, and FG. (5.1)
118. Use triangle below. If AB =10 and CD =18, find EB, BC, and AC. Then use that
information to find the perimeter. (5.1)
119. Find the length of the bridge using the figure below. (5.1)
Geometry Midterm Review Worksheets
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120. Find the height of the tree using the figure below. (5.1)
150 ft
121. Using the figure below, what are the names given to:
a.)
CE
b.)
DB
c.)
AF
|
A
E
)
|
D
)
C
F B
(5.3)
122. Find the value of x. (5.1)
16
3x – 4
Geometry Midterm Review Worksheets
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123. Find the value of x. (5.1)
47
56
4x + 2
56
47
4x + 44
124. Q is equidistant from the sides of
Find the value of x and
(5.2)
Find the value of x and
(5.2)
T
|
(2
x+
|
5)
°
Q
(5x – 25)°
S
R
125. Q is equidistant from the sides of
T
|
|
|
4)°
2
+
x
(2
30°
|
Q
R
S
Geometry Midterm Review Worksheets
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126. In  ACE, G is the centroid and BE = 12. Find BG and GE.
(5.3)
C
B
A
G
D
E
F
127. In  ACE, G is the centroid and BE = 9. Find BG and GE. (5.3)
C
B
A
G
D
E
F
128. List the angles smallest to largest. (5.5)
C
5
A
6
7
B
129. List the sides longest to shortest. (5.5)
Geometry Midterm Review Worksheets
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130. Can a triangle have sides with the given lengths? Explain.
a.)
3 ft, 7 ft, 8 ft
c.)
2 m, 7 m, and 9 m
b.)
d.)
3 cm, 6 cm, 10 cm
4 yd, 6 yd, and 9 yd
131. A triangle has sides of lengths 8 cm and 10 cm. Describe the lengths
possible for the third side using an inequality. (5.5)
132. A triangle has sides of lengths 3 in. and 12 in. Describe the lengths
possible for the third side using an inequality. (5.5)
133. From downtown, it is 2.5 miles to DHS. Traveling in a different direction, Hill
elementary is 4.3 miles from downtown. What are all the possible distances from DHS to
Hill elementary?
Geometry Midterm Review Worksheets
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REVIEW WORKSHEET FOR GEOMETRY MIDTERM-CHAPTER SIX
•
•
|
|
•
|
|
•
134. List all possible names for the quadrilateral below?
List all possible names for quadrilateral ABCD with vertices:
135. A(.5,2), B(-3,6), C(,6,6), and D(4,2)?
136.
Geometry Midterm Review Worksheets
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137. List all the quadrilaterals that can contain four right angles.
138. Find the other three angles in the parallelogram if Angle CDA is 650.
A
B
D
C
139. A parallelogram has an angle of 1200. Find the measure of the other
three angles.
140. Which statement can you use to conclude that quadrilateral XYZW is a
parallelogram?
X
Y
N
W
Z
a.
b.
Geometry Midterm Review Worksheets
c.
d.
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Use the three statements below. (Chapter 2)
A. If games are canceled, then Maria reads a book.
B. If it snows, then games are canceled.
C. It is snowing.
141. What can you conclude about A & B using deductive reasoning? (Law of
Syllogism)
142. What can you conclude about B & C using the Law of Detachment?
143. Using statements A, B and C, what can you conclude? (Both)
Name the figure and find the missing angle measures:
144.
145.
146. HIJK is a rectangle. Draw a picture and find the lengths of the diagonals
if
Geometry Midterm Review Worksheets
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Determine whether the figure can be a parallelogram. If not, write impossible:
147.
148.
Find the missing angle measures:
149.
150.
Find the value of the variable(s):
151.
152.
Find the missing angle measures:
153.
Geometry Midterm Review Worksheets
154.
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Formulas
Midpoint Formula for points (x1, y1) and (x2, y2):
 x  x y  y2 
M  1 2 , 1

2 
 2
Distance formula for points (x1, y1) and (x2, y2):
Triangle:
D  ( x2  x1 )2  ( y2  y1 )2
1
s2 3
1
A  bh 
 s ( s  a )( s  b)( s  c) : s  (a  b  c)
2
4
2
Square:
Rectangle:
A  s 2 , P  4s
A  lw  bh , P  2l  2w
Trapezoid:
Rhombus/Kite: A = ½ d1d2
Exterior angle measure:
360
n
Sum of the interior angles of a polygon:
Interior angle measure:
Circle:
Geometry Midterm Review Worksheets
(n  2)180
(n  2)180
n
A   r 2 ; C  2 r   d
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