Math, Course 3
Mid-Year Exam Study Guide
Topics You Will Be Tested On
Chapter 7
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Identifying angles (adjacent, vertical, corresponding, alternate interior)
Finding angle measures (in polygons and in intersecting lines)
Supplementary and complementary angles
Finding lengths in similar figures
Determining if triangles are congruent or not (SAS, ASA, SSS)
Finding the sum of interior angles of polygons
Naming polygons
Chapter 8
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Transformations (translations, rotations, reflections, dilations) vocab
Graphing and identifying transformations
Finding the scale factor
Chapter 9
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Volumes of solids (prisms, pyramids, cylinders, cones, and spheres)
Surface area of a sphere
Finding the missing measurement of a solid given its volume/S.A.
Solving for a missing side length in similar solids
Finding the S.A./volume of similar solids given the side lengths/S.A./volume
of the other
Chapter 1
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Terminating vs. Repeating Decimals
Rational numbers vs. Irrational Numbers
Square roots, cube roots, exponents
Fraction form to decimal form and vice versa
Pythagorean Theorem
Chapter 2
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One step, two step, and multistep equations
Simplifying expressions
Variables on both sides
Chapter 7
Match the following words on the left with their correct definition on the
right
Similar Figures
A. Formed by intersecting lines
and are opposite of each other
Congruent Polygons
B. Intersecting lines that form
a 90 degree angle
Transversal
C. Figures that are the same
shape but different size
Corresponding Angles
D. Have a common vertex and
common side
Alternate Interior Angles
E. Have the same angle measure
Vertical Angles
F. A line that intersects two other
lines at two different points
Congruent Angles
G. Same shape, same size.
Adjacent Angles
H. Lie on the same side of the
transversal in corresponding
positions.
Perpendicular Lines
I. Lie on opposite sides of the
transversal and within a pair
of lines
Chapter 8
Write the rule for the given translation.
1) Transformation
A) The name of the figure you get after
a transformation
2) Translation
B) If a figure can be rotated 180
degrees and match its original
figure
3) Dilation
C) A change in position, size, or shape
of a figure
4) Rotation
D) A fixed point upon which a figure is
turned
5) Reflection
E) A transformation that moves each
point of a figure the same distance
in the same direction
6) Image
F) The line over which a figure is
flipped
7) Line of Reflection
G) A transformation that results in an
image that is similar to the original
figure
8) Reflectional Symmetry
H) A transformation that flips a figure
over a line
9) Rotational Symmetry
I) When figure that can be flipped over
a line, and the reflected image
matches the original figure
10) Center of Rotation
J) A transformation that turns a figure
about a fixed point
Chapter 9
Chapter 1
Be able to define the following terms:
Origin
y-axis
x-axis
Perfect square
Perfect cube
Triangle Inequality Theorem
Pythagorean Theorem
Hypotenuse
Rational Number
Irrational Number
Repeating Decimal
Terminating Decimal
Write the decimal expansion of the following fractions, then write whether it is a
repeating or terminating decimal.
3
17
8
20
9
29
11
30
Solve each equation:
√64
√81
3
√100
121
3
27
√125
Triangles
Find the length of the missing right triangle side based on the information given:
a = 6, b = 8
a = 12, b = 6
a = 3, c = 5
b = 8, c = 10
Is it possible to construct ANY triangle with the given sides?
8 m, 10 m, 15 m
5 mi, 10 mi, 16 mi
Is it possible to construct a RIGHT triangle with the given sides?
6 m, 8 m, 13 m
28 yds, 45 yds, 53 yds
Pythagorean Theorem Within the Coordinate Plane
Graph the following points: (−2, 3) and (3,0). Using the Pythagorean theorem,
determine the distance between these two points. Round your answer to the nearest
tenth.
Chapter 2
*Know how and when to use the distributive property.
Simplifying Expressions
Combine like terms to simplify the following expressions
3y + 4 + 6y
-7x + 6 – 5x
5 (4x + 4) – 2x
6 – (2x + 8)
Two-Step Equations
Isolate the variable and solve
4x + 7 = -3
-1.4b + 10 = -18
Multi-Step Equations
ITV and solve
5h + 2 – h = 22
3b + b – 8 = 4
4(m + 3) = -32
7 (4 – g) = -84
Variables on Both Sides
Combine like terms, ITV and solve
2 + 14z = -8 + 9z
7m = 9(m + 4)