Name: ___________________
Teacher: _________________
Geometry
Math Notes
Semester 1
Chapters 1 - 6
1 of 20
Not on OGT Reference Sheet (Law of Cosines and Law of Sines):
2 of 20
Geometry
1.1.1
Chapter 1 Math Notes
Term:
Definition:
Lines of Symmetry:
Reflection Symmetry:
Define reflection symmetry:
Line of Symmetry:
Define line of symmetry:
Name:____________
p.5
Sketch an example of the following:
1.1.2
The Investigative
Process:
One line of symmetry
2 lines of symmetry
Draw the investigative process:
p.10
Write an example of a question:_____________________
______________________________________________
Define and write an example of the following:
Conjecture:
Exploration:
Prove:
1.1.3
Perimeter:
Definition:
5
p.15
Find the perimeter:
8
6
Area:
4
Definition:
5
Find the area:
3
3 of 20
Solving Linear Equations:
1.1.4
p.19
1.1.5
Solve the following equation, show all steps and circle your final
answer.
3x  2  4  x  6
Types of Angles:
Define and sketch an example of each of the following angles:
p.21
Acute:
Right:
Obtuse:
Straight:
Circular:
1.2.1
Graphing an Equation:
p.29
Draw a complete graph of: y   x  2
What is the slope: m=_____, what is the y-int. b=_____
Make a table of x-values:
x -3 -2 -1 0 1 2
y
What does it mean for a graph to be complete?
4 of 20
1.2.2
Term:
Rigid Transformations:
p.34
Translation:
Definition:
Define the following AND sketch an example of each:
Reflection:
Line of Reflection:
Rotation:
Prime notation:
What does it mean to be mapped?
1.2.3
p.38
More on Reflections:
(Use the diagram in your
book to answer the
questions)
Using the diagram and the math notes answer the following
questions:
What is the angle formed by the line connecting A to A’?____
Fill in the blanks:
The line of reflection ___________ (cuts in half) the line segment
connecting each image point with its corresponding point on the
original figure. Based on the picture, AP=_____.
1.2.4
Polygons:
Define polygon:
p.42
Sketch 2 polygons:
Define regular polygon:
Regular Polygons:
Sketch a regular polygon:
What makes this polygon regular?___________________
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1.2.5
Term:
Slope:
Definition:
Define slope:
p.44
Slope=
vertical change

horizontal change
Parallel Lines:
Fill in the blanks below:
Parallel lines lie in the _______ plane and ______ intersect.
They have the _______ steepness, and grow at the same rate
(same slope  ).
Perpendicular:
Perpendicular lines are lines that intersect at a _____ angle.
Slopes of Parallel lines:
Slopes of Perpendicular
lines:
Give an example of an opposite reciprocals:
1.3.1
Venn diagram:
Define:
p.51
Sketch and label an example:
1.3.3
Ratio:
Define:
p.60
Give 3 ways you can write a ratio:
Give an example of a ratio:
Probability:
Define:
Give an example of a probability:
What does P(5) mean (based on the math notes)?
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2.1.1
p. 76
Geometry
Chapter 2 Math Notes
Terms:
Angle relationships:
Definition:
Complementary angles:
Supplementary angles:
Congruent:
2.1.2
p. 81
Naming Parts of Shapes:
Give an example of the
proper way to label a point:
Line Segment:
Line:
Properly draw
10°
Term:
2.1.3
p. 87
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HGI to be
Definition:
Systems of Linear Equations:
System of linear equations:
Point of intersection:
Define:
Ex:
Coincide:
Solve the following by the
substitution method
x  3 y  1
4 x  3 y  11
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2.1.4
Term:
More Angle Pair
Relationships:
Definition:
For this section define and sketch and example of each
p. 91
Vertical angles:
Corresponding angles:
Alternate interior angles:
Same-side interior angles:
2.1.5
Proof by Contradiction:
p. 96
2.2.1
Triangle Angle Sum Theorem:
p. 100
2.2.2
Multiplying Binomials
p. 104
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Multiply: (2 x  3)(4 x  1)
2.2.3
Term:
Conditional statement:
Definition:
Define:
p. 108
Ex:
2.2.4
Areas:
p. 112
Find the area of a triangle
with a height of 4 and a base
of 3
Find the area of a
Parallelogram with a base of
8 and a height of 7
Find the area of a trapezoid
with a height of 6 and bases
of 2 and 9
2.3.1
p. 115
Square Root:
Square root:
25
b)
121
Define irrational number:
Simplify:
2.3.2
Right Triangle Vocabulary:
p. 119
Legs:
Hypotenuse:
10 of 20
18
b)
97
2.3.3
Pythagorean Theorem:
Define:
p. 123
Sketch and find the hypotenuse of the triangle with leg
lengths of 5 and 8:
11 of 20
Geometry
3.1.1
Term:
Dilations
p. 138
Dilation:
Point of Dilation or Stretch
Point:
Draw an example of any ABC
being dilated from a point of
your choice:
3.1.2
Ratio of Similarity and Zoom
Factor
p. 142
Ratio:
Ratio of similarity:
Zoom factor:
Draw an example of any ABC
being enlarged by a zoom
factor of 2:
Proportional Equations
3.1.3
Define proportional equation
and give an example:
p. 145
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Chapter 3 Math Notes
Definition:
3.1.4
Term:
Writing a Similarity Statement
p. 150
Similar:
Draw an example of similar
triangles: (be sure to include labels,
side lengths and the correct notation
in your similarity statement)
3.2.1
Conditions for Triangle
Similarity
p. 155
Define and draw an example
of SSS~:
Define and draw an example
of AA~:
3.2.2
p. 159
Congruent Shapes
Congruent:
Draw an example of congruent
shapes: (be sure to include labels
and side lengths)
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Definition:
3.2.3
Term:
Solving a Quadratic Equation
Quadratic equation:
Definition:
p. 163
Factoring/Zero Product
Property:
Quadratic Formula:
Solve the following quadratic
equation by both methods
described above:
x  3x  10  0
2
3.2.4
p. 167
3.2.5
p. 171
Writing a Flowchart
Define and draw an example of
a flowchart:
Conditions for Triangle
Similarity
Define and draw an example of
SAS~:
List three ways to prove
triangles are similar:
14 of 20
Factoring
Quadratic Formula
Geometry
Term:
4.1.1
Slope and Angle Notification
p.190
Define Slope:
Chapter 4 Math Notes
Definition:
Draw and label a slope
triangle:
Label the Slope Angle:
4.1.2
p.194
Slope Ratios and Angles
Draw and label the slope
angles for the following
triangles:
Width of 5, height of 1:
Width of 5, height of 2:
Width of 3, height of 1:
Width of 3, height of 3:
Tangent Ratio
4.1.4
Define the Tangent Ratio:
p.200
Draw an image of a triangle to
illustrate tangent ratio:
Complete the following:
15 of 20
tan  

4.2.4
Geometry
Term:
Probability Models
p.219
Use the Spinner images to find
the probability that the
spinners land on an “A” and an
“F”:
Use the Area model to find
the probability that the
spinners land on a “U” and a
“T”:
Use the Tree diagram to find
the probability that the
spinners land on a “U” and a
“F”:
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Chapter 4 Math Notes
Definition:
Geometry
5.1.2
p.241
5.1.4
Chapter 5 Math Notes
Term:
Trigonometric Ratios:
Using the triangle at right,
complete the ratio for each
trigonometric ratio
tan Θ:
tan  

sin Θ:
sin  

cos Θ:
cos  

Inverse Trigonometry (sin-1
cos-1 tan-1 )
p.248
What are inverse
trigonometric functions used
for?
Solve for Θ in the triangle at
right:
5.2.1
p.252
Definition:
Use your calculator to solve
sin-1(5/13):
Rationalizing a Denominator
What is a in the triangle at
right?
Simplify
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6
:
2
5.3.1
p.260
Term:
Special Right Triangles
What is the ratio of side
lengths in a 30-60-90
triangle?
What is the ratio of side
lengths in a 45-45-90
triangle?
Define Pythagorean Triple:
Give 2 examples of
Pythagorean Triples:
5.3.2
Law of Sines
p.264
Write down the Law of Sines
for the triangle at right:
Solve for x using the Law of
Sines:
5.3.3
Law of Cosines
p.267
Write down the Law of
Cosines for the triangle at
right:
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Definition:
Geometry
6.1.1
p. 291
Term:
Congruent Shapes
Congruent:
Draw an example of two
Congruent Shapes:
Triangle Congruence Shortcuts
6.1.3
p. 299
Triangle Congruence
Conjectures:
Define and draw an example
of each:
SSS 
SAS 
ASA 
AAS 
HL 
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Chapter 6 Math Notes
Definition:
6.1.4
Term:
Converses
Converse:
p. 304
Give an example of each:
A Conjecture:
A Reversal:
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Definition: