Ohio Graduation Test

1
Mathematics Standard
Geometry and Spatial Sense
2
Coordinate Geometry
Any point can be written as _______.
(x, y)
If there are two points, use subnumbers and write
the points as _______ and _________.
3
Formulas for finding Length
distance
The _______ formula is used to find the distance
between any 2 points.
4
Finding Distance
Find the distance between these points (-2, -3)
and (6, 3).
5
Formulas for finding Coordinates
The ________ formula is used to find the
coordinates of the midpoint of a segment.
midpoint
6
Finding Coordinates
Find the coordinates of the midpoint of this
segment.
M
7
Formulas for finding Length
Pythagorean Theorem
The ___________________ is used to find the
lengths of the sides of a right triangle.
hypotenuse
leg
leg
8
Finding Length
What is the length of the hypotenuse of this
right triangle?
12
16
9
Finding Length
What is the length of the missing leg of this
right triangle?
15 cm
9 cm
10
Formulas for finding Length
The ________ of a figure is the sum of the
lengths of the sides of the figure.
perimeter
11
Length
How much would it cost a community to enclose
their playground that is shaped as a regular
hexagon if one side is 15 yards and the cost of
the fence averages 12/foot.
12
Formulas for finding Length
The ____________ is the distance around a circle.
circumference
Note Formula is provided.
13
Length
The circumference of a tree is 42 inches. What
is the diameter of the tree?
14
Reading Geometric Symbolism
is read as
point B
15
Reading Geometric Symbolism
is read as
segment AB
16
Reading Geometric Symbolism
is read as
ray AB
17
Reading Geometric Symbolism
is read as
line AB
18
Reading Geometric Symbolism
is read as
angle CAT
19
Reading Geometric Symbolism
is read as
the measure of angle CAT
20
Reading Geometric Symbolism
is read as
segment AB is parallel to segment CD
21
Reading Geometric Symbolism
segment AB is perpendicular to segment CD
is read as
22
Reading Geometric Symbolism
segment AB is congruent to segment CD
is read as
23
Geometric Terminology
Congruent
__________ figures have the same size and the
same shape.
24
Geometric Terminology
Use the corner of a piece of paper to determine
if an angle is right, obtuse, or acute!
25
Geometric Terminology
acute
is an _____ angle.
26
Geometric Terminology
obtuse
is an _______ angle.
27
Geometric Terminology
right
is a _____ angle.
28
Geometric Terminology
straight
is a ________ angle.
29
Geometric Terminology
1
2
complementary
are _ _______ angles.
30
Geometric Terminology
1
2
supplementary
are _ _______ angles.
31
Geometric Terminology
k
j
t
Given j // k
Line t is called a _ ____.
transversal
32
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
alternating interior
are _ __________ angles.

33
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
alternating interior
are _ __________ angles.

34
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
corresponding
are _ _______ angles.

35
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
corresponding
are _ _______ angles.

36
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
corresponding
are _ _______ angles.

37
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
corresponding
are _ _______ angles.

38
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
alternating exterior
are _ __________ angles.

39
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
alternating exterior
are _ __________ angles.

40
Geometric Terminology
polygon
A _______ is a 2-D figure named according to the
number of sides it has.

• 7 - Heptagon
• 8 - Octagon
• 9 - Nonagon
• 10 - Decagon

• 3 - Triangle
• 4 - Quadrilateral
• 5 - Pentagon
• 6 - Hexagon

41
Geometric Terminology
An acute triangle has ______ angles.
3 acute
42
Geometric Terminology
A right triangle has ____________ angle.
exactly 1 right
43
Geometric Terminology
An obtuse triangle has _____________ angle.
exactly 1 obtuse
44
Geometric Terminology
Triangles can also be named according to the
lengths of their sides
A scalene triangle has ____ sides of equal
length.
no
45
Geometric Terminology
An isosceles triangle has ___ sides of equal
length.
2
46
Geometric Terminology
In an isosceles triangle, the base angles are
______ or _________.
47
Geometric Terminology
An equilateral triangle has _____ equal sides.
3
48
Geometric Terminology
An equilateral triangle is also ___________,
meaning all 3 angles are equal in measure.
equiangular
49
Geometric Terminology
This triangle is _______ and
.
50
Geometric Terminology
This triangle is _______ and
.
51
Geometric Terminology
This triangle is _____ and .
52
Geometric Terminology
This triangle is ______ and .
53
Geometric Terminology
This triangle is ______ and _ .
54
Geometric Terminology
This triangle is ______ and _ .
55
Geometric Terminology
This triangle is ______ and _ .
56
Geometry Facts
3
1
2
The sum of the measures of ____ triangle is 180
degrees.
any
57
Geometric Terminology
altitude
This is called the _______ of a triangle.
The length of the altitude is called the
_______ of the triangle.
height
58
Geometry Facts
Corresponding parts of congruent triangles are
__________.
congruent
59
Geometry Facts
Five ways to tell if two triangles are congruent
include
SSS, SAS, ASA, AAS, and HL
60
Geometry Facts
To use ____, check to see if all 3 pairs of
corresponding sides are congruent.
SSS
61
Geometry Facts
To use ____, check to see if 2 pairs of
corresponding sides and the included angle are
congruent.
SAS
62
Geometry Facts
To use ____, check to see if 2 pairs of
corresponding angles and the included side are
congruent.
ASA
63
Geometry Facts
To use ____, check to see if 2 pairs of
corresponding angles and a nonincluded side are
congruent.
AAS
64
Geometry Facts
To use ___, check to see if a pair of
corresponding hypotenuses and a pair of
corresponding legs in right triangles are
congruent.
HL
65
Geometry Facts
Corresponding parts of congruent figures are
_______.
congruent
(Wow! Its not just true for triangles!)
7
8
6
9
10
66
Geometric Terminology
Similar
_______ figures have the same shape, but they do
NOT have to have the same size (although they
could).
67
Reading Geometric Symbolism
triangle CAT is similar to triangle DOG
is read as
68
Geometry Facts
similar
In ______ figures, corresponding angles are
congruent corresponding sides are in proportion.
69
Geometric Terminology
In similar figures, the ratio of 2 corresponding
sides is called the _____ factor.
scale
70
Geometry Facts
In similar figures, the ratio of the perimeters
is the same as the _____ factor.
scale
12
9
Wow! We do NOT even need to know the lengths of
ALL of the sides!
71
Geometry Facts
One way to tell if two triangles are similar is
to check to see if
72
Geometry Facts
If a line segment in a triangle is ________ to
one of the sides, the two triangles created are
similar.
parallel
73
Geometry Terminology
parallelogram
A ___________ is a quadrilateral with both pairs
of opposite sides being parallel.
74
Geometry Facts
In a parallelogram, both pairs of opposite sides
are not only parallel, but also _________.
75
Geometry Facts
In a parallelogram, both pairs of opposite angles
are _________.
76
Geometry Facts
In a parallelogram, the diagonals _______ each
other.
77
Geometry Terminology
rectangle
A _________ is a parallelogram with 4 right
angles.
78
Geometry Terminology
rhombus
A _________ is a parallelogram with 4 congruent
sides.
79
Geometry Terminology
square
A _______ is a parallelogram with 4 right angles
and 4 congruent sides.
80
Geometry Facts
Relationship of special quadrilaterals
parallelogram
rhombus
rectangle
square
81
Geometry Terminology
trapezoid
A _______ is a quadrilateral with 1 pair of
parallel sides.
82
Geometric Terminology
isosceles
In an ________ trapezoid, the legs are
congruent.
83
Geometry Facts
median
84
Geometry Facts
In these special quadrilaterals, the diagonals
are congruent
85
Geometry Facts
In these special quadrilaterals, the diagonals
are perpendicular
86
Geometric Terminology
regular
A _______ polygon is both equilateral and
equiangular.
87
Geometric Terminology
interior
exterior
180
1
2
88
Geometry Facts
To find the sum of the degrees of the interior
angles of any polygon, divide the figure into
_______ and multiply by ___ .
180
?
?
?
?
?
89
Geometry Facts
The sum of the degrees of one set of exterior
angles of any polygon, is always ___ .
360
360
90
Reading Geometric Symbolism
is read as
circle P
91
Geometric Terminology
A _____ is a line segment which has both
endpoints on the circle.
chord
92
Geometric Terminology
A chord that passes through the center of the
circle is called a ________.
diameter
93
Geometric Terminology
The diameter of the circle is twice the length of
the ______.
radius
94
Geometric Terminology
tangent
A _______ line intersects a circle in exactly one
point.
95
Geometric Terminology
central
A ______ angle is formed by two radii. Its
vertex is located at the center of the circle!
96
Geometric Terminology
semicircle
A __________ is half of an arc of a circle.
97
Geometric Terminology
A ______ arc is smaller than a semicircle.
minor
98
Geometric Terminology
A ______ arc is larger than a semicircle.
major
99
Geometry Facts
360
In any circle, there are ____ .
360
100
2-D Geometric Figures
You are expected to be able to use the following
formulas for 2-dimensional figures
101
Geometry Terminology
transformation
A _____________ maps a geometric figure to a
second figure with the exact same size and shape,
called its ______.
image
102
Types of Transformations
reflection
A __________ creates a mirror image of the
original figure. The mirror line is called the
______________.
line of symmetry
original
103
Types of Transformations
rotation
A ________ turns the original figure a certain
number of degrees.
A ________________ rotation is positive!
counterclockwise
original
A ____________ rotation is negative!
clockwise
104
Types of Transformations
translation
A _________ slides the original figure some
distance in some direction.
original
105
3-D Geometric Figures
You are expected to be able to use formulas for
finding the Volume and Surface Area of
3-dimensional figures. In order to do so, you
need to know this symbolism
106
3-D Geometric Figures
prism
The object shown below is a ______.
bases
The ______ are 2 congruent triangles.
lateral
The ______ faces connect the bases.
The _______ is the height of the prism.
107
3-D Geometric Figures
cylinder
A _______ is shown here.
bases
The ______ are the 2 circles.
The _______ is the height of the cylinder.
108
3-D Geometric Figures
rectangular prism
A box, or _______________ is shown below.
cube
109
3-D Geometric Figures
You are expected to be able to use the following
formulas for 3-dimensional figures such as those
shown
110
3-D Geometric Figures
pyramid
The object shown below is a ________.
The _____ is a polygon a triangle here.
lateral
The ______ faces connect the base to the
vertex.
The _______ is the height of the pyramid.
111
3-D Geometric Figures
cone
A _____ is shown here.
base
The _____ is the circle.
The _______ is the height of the cylinder.
112
3-D Geometric Figures
You are expected to be able to use the following
formulas for 3-dimensional figures such as these
113
3-D Geometric Figures
To be able to find the lateral area (or the area
of the faces that are not the base), you may need
to know the _______ height.
slant
114
3-D Geometric Figures
sphere
A _______ is the set of all points a fixed
distance from a given point called the center.
You are expected to be able to use the following
formula to find the volume of a sphere
115
2-D versus 3-D
A ____ is a two dimensional drawing that forms a
three dimensional object when cut out and
assembled properly.
net
This is a net of a _________.
cylinder