1) translation:

(4

, 1

)

x

y

T

B

Q

J

2) translation:

(0

, 2

)

x

y

I

Y W

P

3) translation:

(6

, 1

)

x

y

P

T

C

4) translation:

(3

, 1

)

x

y

S

C

I

5) translation:

(2

, 3

)

x

y

G

H

W

6) translation:

(7

, 1

)

x

y

L

Z

S

Translations (1)

1) translation:

(2

, 1

)

x

y

P

X

J

W

2) translation:

(4

, 0

)

x

y

J

R

Y

V

3) translation:

(1

, 4

)

x

y

L

M

C

4) translation:

(3

, 3

)

x

y

V

H

G

5) translation:

(5

, 1

)

x

y

D

M

Z

6) translation:

(7

, 4

)

x

y

K

S

J

Translations (2)

1) translation:

(6

, 3

)

x

y

V

P

Y

J

2) translation:

(1

, 5

)

x

y

Y

R

U

3) translation:

(3

, 5

)

x

y

F

P

D

Q

4) translation:

(3

, 1

)

x

y

Q

A

T

5) translation:

(5

, 1

)

x

y

G

C I

Q

6) translation:

(1

, 1

)

x

y

K

U

V

C

Translations (3)

1) translation:

(0

, 1

)

x

y

H

E

R

2) translation:

(0

, 1

)

x

y

P

A U

Q

3) translation:

(2

, 1

)

x

y

Y

V

J

W

4) translation:

(2

, 0

)

x

y

M

K

S

E

5) translation:

(6

, 0

)

x

y

T

M

Y

6) translation:

(3

, 1

)

x

y

E

W

I

K

Translations (4)

1) translation:

(5

, 2

)

x

y

E

B

N

2) translation:

(7

, 4

)

x

y

Q

R D

3) translation:

(7

, 0

)

x

y

S

B

W

4) translation:

(4

, 1

)

x

y

K

L H

P

5) translation:

(2

, 0

)

x

y

N

K C

A

6) translation:

(3

, 0

)

x

y

X

D

N

Translations (5)

1) reflection across

x

= 1

x

y

N

G W

K

2) reflection across the x-axis

x

y

L

P

E

3) reflection across

y

= 3

x

y

E

M

P

4) reflection across

x

= 3

x

y

H

J

Y

S

5) reflection across the y-axis

x

y

J

Z

U

6) reflection across

y

= 1

x

y

G

W

I

Reflections (1)

1) reflection across the x-axis

x

y

N

M

I

2) reflection across

y

= 3

x

y

J

L

Y

3) reflection across

x

= 1

x

y

I

B

Z

4) reflection across

x

= 1

x

y

Q

G

N

X

5) reflection across

x

= 1

x

y

G

R

W

6) reflection across

y

= 2

x

y

R

D

T

Reflections (2)

1) reflection across

x

= 1

x

y

H

SK

U

2) reflection across

y

= 1

x

y

Q

R

W

3) reflection across

y

= 1

x

y

V

P

F

D

4) reflection across

y

= 1

x

y

R

L

Y

H

5) reflection across

x

= 2

x

y

W

Q

Z

6) reflection across the x-axis

x

y

A

G

B

S

Reflections (3)

1) reflection across

x

= 2

x

y

J

W

M

D

2) reflection across

x

= 3

x

y

D

I Y

3) reflection across the y-axis

x

y

D

G

M

U

4) reflection across

y

= 1

x

y

M

N

K

5) reflection across

x

= 1

x

y

K

H

V

6) reflection across

x

= 3

x

y

Q

K

V

B

Reflections (4)

1) reflection across the x-axis

x

y

I

L

Z

J

2) reflection across

x

= 1

x

y

L

Z D

T

3) reflection across the x-axis

x

y

S

C A

V

4) reflection across

y

= 2

x

y

B

K S

R

5) reflection across

x

= 3

x

y

E

J C

6) reflection across

x

= 1

x

y

G

D Z

Q

Reflections (5)

1) rotation 180 about the origin

x

y

V

H

R

2) rotation 90 clockwise about the origin

x

y

M

Y

P

J

3) rotation 90 clockwise about the origin

x

y

U

A

L

4) rotation 180 about the origin

x

y

K

S

J

W

5) rotation 90 counterclockwise about theorigin

x

y

R

K

H

C

6) rotation 90 clockwise about the origin

x

y

L

C

T

Rotations (1)

1) rotation 90 clockwise about the origin

x

y

Y

T J

X

2) rotation 180 about the origin

x

y

Y

L

J

3) rotation 90 counterclockwise about theorigin

x

y

W

Y Q

K

4) rotation 90 counterclockwise about theorigin

x

y

L

P

A

5) rotation 180 about the origin

x

y

T

X

N

6) rotation 90 clockwise about the origin

x

y

Y

M

I

E

Rotations (2)

1) rotation 180 about the origin

x

y

B

Z

C

2) rotation 180 about the origin

x

y

A

T

E

3) rotation 180 about the origin

x

y

X

W

J

Z

4) rotation 90 counterclockwise about theorigin

x

y

S

V

Z

K

5) rotation 180 about the origin

x

y

N

E

U

Z

6) rotation 90 counterclockwise about theorigin

x

y

A

Z

N

S

Rotations (3)

1) rotation 90 counterclockwise about theorigin

x

y

W

Q

I

2) rotation 180 about the origin

x

y

P

S

N

3) rotation 90 counterclockwise about theorigin

x

y

F

J H

U

4) rotation 180 about the origin

x

y

K

C

U

N

5) rotation 180 about the origin

x

y

N

K Y

B

6) rotation 180 about the origin

x

y

K

F

I

Rotations (4)

1) rotation 180 about the origin

x

y

D

F

S

R

2) rotation 90 clockwise about the origin

x

y

M

A W

S

3) rotation 180 about the origin

x

y

D

U

Z

4) rotation 180 about the origin

x

y

M

P

U

5) rotation 180 about the origin

x

y

I

F S

L

6) rotation 90 counterclockwise about theorigin

x

y

F

N P

Rotations (5)

1) translation:

(4

, 1

)

x

y

T

B

Q

J

T'

B'

Q'

J'

2) translation:

(0

, 2

)

x

y

I

Y W

P

I'

Y' W'

P'

3) translation:

(6

, 1

)

x

y

P

T

C

P'

T'

C'

4) translation:

(3

, 1

)

x

y

S

C

IS'

C'

I'

5) translation:

(2

, 3

)

x

y

G

H

W

G'

H'

W'

6) translation:

(7

, 1

)

x

y

L

Z

S

L'

Z'

S'

Translations (1) Answers

1) translation:

(2

, 1

)

x

y

P

X

J

W

P'

X'

J'

W'

2) translation:

(4

, 0

)

x

y

J

R

Y

V

J'

R'

Y'

V'

3) translation:

(1

, 4

)

x

y

L

M

C

L'

M'

C'

4) translation:

(3

, 3

)

x

y

V

H

G

V'

H'

G'

5) translation:

(5

, 1

)

x

y

D

M

Z

D'

M'

Z'

6) translation:

(7

, 4

)

x

y

K

S

J

K'

S'

J'

Translations (2) Answers

1) translation:

(6

, 3

)

x

y

V

P

Y

J

V'

P'

Y'

J'

2) translation:

(1

, 5

)

x

y

Y

R

U

Y'

R'

U'

3) translation:

(3

, 5

)

x

y

F

P

D

Q

F'

P'

D'

Q'

4) translation:

(3

, 1

)

x

y

Q

A

T

Q'

A'

T'

5) translation:

(5

, 1

)

x

y

G

C I

Q

G'

C' I'

Q'

6) translation:

(1

, 1

)

x

y

K

U

V

C

K'

U'

V'

C'

Translations (3) Answers

1) translation:

(0

, 1

)

x

y

H

E

R

H'

E'

R'

2) translation:

(0

, 1

)

x

y

P

A U

Q

P'

A' U'

Q'

3) translation:

(2

, 1

)

x

y

Y

V

J

W

Y'

V'

J'

W'

4) translation:

(2

, 0

)

x

y

M

K

S

E

M'

K'

S'

E'

5) translation:

(6

, 0

)

x

y

T

M

YT'

M'

Y'

6) translation:

(3

, 1

)

x

y

E

W

I

K

E'

W'

I'

K'

Translations (4) Answers

1) translation:

(5

, 2

)

x

y

E

B

N

E'

B'

N'

2) translation:

(7

, 4

)

x

y

Q

R D

Q'

R' D'

3) translation:

(7

, 0

)

x

y

S

B

W

S'

B'

W'

4) translation:

(4

, 1

)

x

y

K

L H

P

K'

L' H'

P'

5) translation:

(2

, 0

)

x

y

N

K C

A

N'

K' C'

A'

6) translation:

(3

, 0

)

x

y

X

D

N

X'

D'

N'

Translations (5) Answers

1) reflection across

x

= 1

x

y

N

G W

K

G'W'

K'

N'

2) reflection across the x-axis

x

y

L

P

E

P'

E'

L'

3) reflection across

y

= 3

x

y

E

M

P M'

P'

E'

4) reflection across

x

= 3

x

y

H

J

Y

S

J'

Y'

S' H'

5) reflection across the y-axis

x

y

J

Z

U

Z'

U'

J'

6) reflection across

y

= 1

x

y

G

W

I

W'

I'

G'

Reflections (1) Answers

1) reflection across the x-axis

x

y

N

M

I

M'

I'

N'

2) reflection across

y

= 3

x

y

J

L

Y

L'

Y'

J'

3) reflection across

x

= 1

x

y

I

B

Z

B'

Z' I'

4) reflection across

x

= 1

x

y

Q

G

N

X

G'

N'

X'

Q'

5) reflection across

x

= 1

x

y

G

R

W

R'

W'

G'

6) reflection across

y

= 2

x

y

R

D

T

D'

T'

R'

Reflections (2) Answers

1) reflection across

x

= 1

x

y

H

SK

U

S'K'

U'

H'

2) reflection across

y

= 1

x

y

Q

R

W

R'

W'Q'

3) reflection across

y

= 1

x

y

V

P

F

D

P'

F'

D'

V'

4) reflection across

y

= 1

x

y

R

L

Y

HL'

Y'

H'R'

5) reflection across

x

= 2

x

y

W

Q

Z

Q'

Z'

W'

6) reflection across the x-axis

x

y

A

G

B

S

G'

B'

S'

A'

Reflections (3) Answers

1) reflection across

x

= 2

x

y

J

W

M

DW'

M'

D'

J'

2) reflection across

x

= 3

x

y

D

I Y I'Y'

D'

3) reflection across the y-axis

x

y

D

G

M

U

G'

M'

U'

D'

4) reflection across

y

= 1

x

y

M

N

K

N'

K'

M'

5) reflection across

x

= 1

x

y

K

H

V

H'

V'

K'

6) reflection across

x

= 3

x

y

Q

K

V

BK'

V'

B'

Q'

Reflections (4) Answers

1) reflection across the x-axis

x

y

I

L

Z

J

L'

Z'

J'

I'

2) reflection across

x

= 1

x

y

L

Z D

T

Z'D'

T'L'

3) reflection across the x-axis

x

y

S

C A

V

C' A'

V'S'

4) reflection across

y

= 2

x

y

B

K S

R

K' S'

R'

B'

5) reflection across

x

= 3

x

y

E

J C J'C'

E'

6) reflection across

x

= 1

x

y

G

D Z

Q

D'Z'

Q'

G'

Reflections (5) Answers

1) rotation 180 about the origin

x

y

V

H

R

V'

H'

R'

2) rotation 90 clockwise about the origin

x

y

M

Y

P

J

M'

Y'

P'

J'

3) rotation 90 clockwise about the origin

x

y

U

A

L

U'

A'L'

4) rotation 180 about the origin

x

y

K

S

J

W

K'

S'

J'

W'

5) rotation 90 counterclockwise about theorigin

x

y

R

K

H

CR'

K'

H' C'

6) rotation 90 clockwise about the origin

x

y

L

C

T

L'

C'

T'

Rotations (1) Answers

1) rotation 90 clockwise about the origin

x

y

Y

T J

X

Y'

T'

J'X'

2) rotation 180 about the origin

x

y

Y

L

JY'

L'

J'

3) rotation 90 counterclockwise about theorigin

x

y

W

Y Q

K

W'

Y'

Q'

K'

4) rotation 90 counterclockwise about theorigin

x

y

L

P

A

L'

P'

A'

5) rotation 180 about the origin

x

y

T

X

NT'

X'

N'

6) rotation 90 clockwise about the origin

x

y

Y

M

I

E

Y' M'

I'

E'

Rotations (2) Answers

1) rotation 180 about the origin

x

y

B

Z

C

B'

Z'

C'

2) rotation 180 about the origin

x

y

A

T

EA'

T'

E'

3) rotation 180 about the origin

x

y

X

W

J

Z

X'

W'

J'

Z'

4) rotation 90 counterclockwise about theorigin

x

y

S

V

Z

KS'

V'

Z' K'

5) rotation 180 about the origin

x

y

N

E

U

Z

N'

E'

U'

Z'

6) rotation 90 counterclockwise about theorigin

x

y

A

Z

N

S

A'

Z'

N' S'

Rotations (3) Answers

1) rotation 90 counterclockwise about theorigin

x

y

W

Q

I

W'

Q'

I'

2) rotation 180 about the origin

x

y

P

S

NP'

S'

N'

3) rotation 90 counterclockwise about theorigin

x

y

F

J H

U

F'J'

H' U'

4) rotation 180 about the origin

x

y

K

C

U

N

K'

C'

U'

N'

5) rotation 180 about the origin

x

y

N

K Y

B

N'

K'Y'

B'

6) rotation 180 about the origin

x

y

K

F

IK'

F'

I'

Rotations (4) Answers

1) rotation 180 about the origin

x

y

D

F

S

R

D'

F'

S'

R'

2) rotation 90 clockwise about the origin

x

y

M

A W

S

M' A'

W'

S'

3) rotation 180 about the origin

x

y

D

U

Z

D'

U'

Z'

4) rotation 180 about the origin

x

y

M

P

U

M'

P'

U'

5) rotation 180 about the origin

x

y

I

F S

L

I'

F'S'

L'

6) rotation 90 counterclockwise about theorigin

x

y

F

N P

F'

N'

P'

Rotations (5) Answers