OGT Geometry Strand Review

1
Mathematics Standard
Geometry and Spatial Sense
2
Formulas for finding Length
distance
The _______ formula is used to find the distance
between any 2 points.
3
Finding Distance
Find the distance between these points (-2, -3)
and (6, 3).
4
Formulas for finding Coordinates
The ________ formula is used to find the
coordinates of the midpoint of a segment.
midpoint
5
Finding Coordinates
Find the coordinates of the midpoint of this
segment.
M
Average x
Average y
6
Formulas for finding Length
Pythagorean Theorem
The ___________________ is used to find the
lengths of the sides of a right triangle.
hypotenuse
leg
leg
7
Finding Length
What is the length of the hypotenuse of this
right triangle?
12
16
8
Finding Length
What is the length of the missing leg of this
right triangle?
15 cm
9 cm
9
Formulas for finding Length
The ____________ is the distance around a circle.
circumference
Note Formula is provided.
10
Length
The circumference of a tree is 42 inches. What
is the diameter of the tree?
11
Geometric Terminology
altitude
This is called the _______ of a triangle.
The length of the altitude is called the
_______ of the triangle.
height
12
Geometry Facts
In a parallelogram, the diagonals _______ each
other.
13
Geometry Terminology
trapezoid
A _______ is a quadrilateral with 1 pair of
parallel sides.
14
Geometric Terminology
isosceles
In an ________ trapezoid, the legs are
congruent.
15
Geometry Facts
median
16
Geometry Facts
In these special quadrilaterals, the diagonals
are congruent
17
Geometry Facts
In these special quadrilaterals, the diagonals
are perpendicular
18
Geometric Terminology
regular
A _______ polygon is both equilateral and
equiangular.
19
Geometric Terminology
interior
exterior
180
1
2
20
Geometry Facts
To find the sum of the degrees of the interior
angles of any polygon, divide the figure into
_______ and multiply by ___ .
180
?
?
?
?
?
21
Geometry Facts
The sum of the degrees of one set of exterior
angles of any polygon, is always ___ .
360
360
22
Reading Geometric Symbolism
is read as
circle P
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Geometric Terminology
A _____ is a line segment which has both
endpoints on the circle.
chord
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Geometric Terminology
A chord that passes through the center of the
circle is called a ________.
diameter
25
Geometric Terminology
tangent
A _______ line intersects a circle in exactly one
point.
26
Geometric Terminology
central
A ______ angle is formed by two radii. Its
vertex is located at the center of the circle!
27
Geometric Terminology
semicircle
A __________ is half of an arc of a circle.
28
Geometric Terminology
A ______ arc is smaller than a semicircle.
minor
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Geometric Terminology
A ______ arc is larger than a semicircle.
major
30
Geometry Facts
360
In any circle, there are ____ .
360
31
2-D Geometric Figures
You are expected to be able to use the following
formulas for 2-dimensional figures
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Geometry Terminology
transformation
A _____________ maps a geometric figure to a
second figure with the exact same size and shape,
called its ______.
image
33
Types of Transformations
reflection
A __________ creates a mirror image of the
original figure. The mirror line is called the
______________.
line of symmetry
original
34
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
35
Types of Transformations
translation
A _________ slides the original figure some
distance in some direction.
original
36
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
37
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.
38
3-D Geometric Figures
cylinder
A _______ is shown here.
bases
The ______ are the 2 circles.
The _______ is the height of the cylinder.
39
3-D Geometric Figures
rectangular prism
A box, or _______________ is shown below.
cube
40
3-D Geometric Figures
You are expected to be able to use the following
formulas for 3-dimensional figures such as those
shown
41
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.
42
3-D Geometric Figures
cone
A _____ is shown here.
base
The _____ is the circle.
The _______ is the height of the cylinder.
43
3-D Geometric Figures
You are expected to be able to use the following
formulas for 3-dimensional figures such as these
44
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
45
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
46
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