Coordinate Geometry

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5-5
Coordinate Geometry
Warm Up
Problem of the Day
Lesson Presentation
Course 3
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Warm Up Complete each sentence. 1. Two lines in
a plane that never meet are called lines. 2.
lines intersect at right angles. 3. The symbol
means that lines are . 4. When a transversal
intersects two lines, all of the
acute angles are congruent.
parallel
Perpendicular
parallel
parallel
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Problem of the Day What type of polygon am I? My
opposite angles have equal measure. I do not have
a right angle. All my sides are congruent.
rhombus
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Learn to identify polygons in the coordinate
plane.
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Insert Lesson Title Here
Vocabulary
slope rise run
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In computer graphics, a coordinate system is used
to create images, from simple geometric figures
to realistic figures used in movies.
Properties of the coordinate plane can be used to
find information about figures in the plane, such
as whether lines in the plane are parallel.
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Slope is a number that describes how steep a line
is.
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slope
The slope of a horizontal line is 0. The slope of
a vertical line is undefined.
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Additional Example 1A Finding the Slope of a Line
Determine if the slope of each line is positive,
negative, 0, or undefined. Then find the slope of
each line.
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Additional Example 1B Finding the Slope of a Line
Determine if the slope of each line is positive,
negative, 0, or undefined. Then find the slope of
each line.
B. ZA
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Additional Example 1C Finding the Slope of a Line
Determine if the slope of each line is positive,
negative, 0, or undefined. Then find the slope of
each line.
C. BC
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Additional Example 1D Finding the Slope of a Line
Determine if the slope of each line is positive,
negative, 0, or undefined. Then find the slope of
each line.
D. DM
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Try This Example 1A
Determine if the slope of each line is positive,
negative, 0, or undefined. Then find the slope of
each line.
B
A
C
E
F
G
H
D
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Try This Example 1B
Determine if the slope of each line is positive,
negative, 0, or undefined. Then find the slope of
each line.
B
A
B. CD
C
E
F
G
H
D
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Try This Example 1C
Determine if the slope of each line is positive,
negative, 0, or undefined. Then find the slope of
each line.
B
A
C. EF
C
E
F
G
H
D
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Try This Example 1D
Determine if the slope of each line is positive,
negative, 0, or undefined. Then find the slope of
each line.
B
A
D. GH
C
E
F
G
H
D
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(No Transcript)
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Additional Example 2 Finding Perpendicular Line
and Parallel Lines
Which lines are parallel? Which lines are
perpendicular?
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Additional Example 2 Continued
Which lines are parallel? Which lines are
perpendicular?
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Try This Example 2
Which lines are parallel? Which lines are
perpendicular?
A
C
D
K
E
H
B
J
G
F
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Try This Example 2 Continued
Which lines are parallel? Which lines are
perpendicular?
A
C
D
K
E
H
B
J
G
F
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Additional Example 3A Using Coordinates to
Classify Quadrilaterals
Graph the quadrilaterals with the given vertices.
Give all the names that apply to each
quadrilateral.
A. A(3, 2), B(2, 1), C(4, 3), D(5, 2)
parallelogram
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Additional Example 3B Using Coordinates to
Classify Quadrilaterals
Graph the quadrilaterals with the given vertices.
Give all the names that apply to each
quadrilateral.
B. R(3, 1), S(4, 2), T(3, 3), U(2, 2)
parallelogram, rectangle, rhombus, square
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Additional Example 3C Using Coordinates to
Classify Quadrilaterals
Graph the quadrilaterals with the given vertices.
Give all the names that apply to each
quadrilateral.
C. G(1, 1), H(1, 2), I(3, 3), J(3, 1)
trapezoid
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Additional Example 3D Using Coordinates to
Classify Quadrilaterals
Graph the quadrilaterals with the given vertices.
Give all the names that apply to each
quadrilateral.
D. W(2, 3), X(3, 4), Y(6, 1), Z(5, 0)
parallelogram, rectangle
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Try This Example 3A
Graph the quadrilaterals with the given vertices.
Give all the names that apply to each
quadrilateral.
A. A(1, 3), B(1, 5), C(7, 5), D(5, 3)
B
C
A
D
parallelogram
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Try This Example 3B
Graph the quadrilaterals with the given vertices.
Give all the names that apply to each
quadrilateral.
B. E(1, 5), F(7, 5), G(6, 1), H(2, 1)
E
F
trapezoid
G
H
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Try This Example 3C
Graph the quadrilaterals with the given vertices.
Give all the names that apply to each
quadrilateral.
C. W(4, 8), X(8, 2), Y(2, 2), Z(2, 4)
W
Z
X
parallelogram, rectangle, rhombus, square
Y
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Try This Example 3D
Graph the quadrilaterals with the given vertices.
Give all the names that apply to each
quadrilateral.
D. R(1, 1), S(3, 7), T(6, 5), U(2, 1)
S
T
R
parallelogram, rectangle
U
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Insert Lesson Title Here
Lesson Quiz
Determine the slope of each line. 1. PQ 2.
MN 3. MQ 4. NP 5. Which pair of lines are
parallel?
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8
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