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5-5

Coordinate Geometry

Warm Up

Problem of the Day

Lesson Presentation

Course 3

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

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

Learn to identify polygons in the coordinate

plane.

Insert Lesson Title Here

Vocabulary

slope rise run

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.

Slope is a number that describes how steep a line

is.

slope

The slope of a horizontal line is 0. The slope of

a vertical line is undefined.

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.

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

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

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

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

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

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

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

(No Transcript)

Additional Example 2 Finding Perpendicular Line

and Parallel Lines

Which lines are parallel? Which lines are

perpendicular?

Additional Example 2 Continued

Which lines are parallel? Which lines are

perpendicular?

Try This Example 2

Which lines are parallel? Which lines are

perpendicular?

A

C

D

K

E

H

B

J

G

F

Try This Example 2 Continued

Which lines are parallel? Which lines are

perpendicular?

A

C

D

K

E

H

B

J

G

F

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

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

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

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

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

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

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

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

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?

1

8

7

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