6th Grade Math Textbook, Fundamentals

Lesson 13-10 for exercise sets. &KDSWHU 

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Graph each point and its image.

1.P(1, 8) 2.B(0, 0) 3.M(2, 1)

left 6 units, up 4 units right 3 units, down 1 unit reflect over the y-axis

Graph each transformation of DEF. Give the coordinates of the

vertices of the original figure and its image.

4.translate left 6 units 5.translate right 2 units and

up 3 units

6.reflect over the y-axis 7.reflect over the x-axis

8.Discuss and Write How can you identify the coordinates of an

image reflected over the x- or y-axis without graphing? Give

examples to support your answer.

Polygons can also be transformed on a coordinate plane.

To transform a polygon, first transform the vertices.

Then connect the images of the vertices to form the image of the polygon.

Translate ABC5 units to the right and 5 units down.

Each vertex is moved 5 units to the right and

5 units down.

Give the coordinates of the vertices of the original

figure and its image.

Original: A(4,4), B(4, 1), C(2,1)

Image: A′(1, 1), B′(1, 4), C′(3, 4)

1

0

y

x

^143

1

 2

 3

 4

1

2

3

4

 4  3  2  1

A

BC

B‘ C‘

5 units

right 5 units

down

A‘

2

Identify the transformation as a translation or a reflection.

Then describe how the figure was transformed.

J(1, 2) J′(1, 2)

K(3, 2) K′(3, 2)

L(3,1) L′(3,1)

M(1,1) M′(1,1)

This transformation is a reflection.

Rectangle JKLMwas reflected over the y-axis

to form rectangle J′K′L′M′.

2

Think

(x, y) (1 • x, y)

(x, y) 0

y

x

^1423

1

 2

 3

 4

1

2

3

4

 4  3  2  1

JK

L‘ M‘ ML

K‘ J‘

0

y

x

^1423

1

 2

 3

 4

1

2

3

4

 4  3  2  1

E (1,4)

F

( 1 , 3 )

D

( 3 , 2 )