Practice Worksheet - MATH IN DEMAND

[Pages:9]Practice Worksheet

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? Make sure that students bubble in their answers for the front page (#1-7) and the back page (#8-14). The bubbles allow students to check their answers and results in a more confident student. In addition, it makes it a lot easier for you to do a quick "checking for understanding" when you have the answer key and can compare the bubbles shaded in.

? Make sure that students show their work! Space is given so that students can demonstrate their knowledge of the concept. I do not give students credit if they do not show their work. Also, students need to give a nice reflection (2-3 sentences)!

? You can decide if you want to use the score in the top left.

? If you have any questions or concerns, please email me at mathindemand@.

Score (__/__)

Name: ___________________

Sequence of Transformations

Worksheet Practice

Date: __________ Period: _____

Directions: Determine the sequence of transformations. Make sure to bubble in your answers below on each page so that you can check your work. Show all your work!

1 Reflect point A over the x-axis then rotate

90? counterclockwise.

2 Translate point A up 3 3 Rotate point A 180?

and right 6 units, then

clockwise then shift

reflect over the y-axis. left 3 units and down 1 unit.

4 Reflect point A over the y-axis then rotate 90? clockwise.

A A

A'' = (___,___)

5 Reflect ABC over the x-axis then shift

right 3 units and up 3 units.

A C

B

C'' = (___,___)

A

A'' = (___,___)

6 Shift ABCD down 5 units then rotate 90? clockwise.

A

B

D

C

C'' = (___,___)

A'' = (___,___)

7 Reflect point A over the x-axis then rotate 90? counterclockwise.

A

B

D

C

D'' = (___,___)

A

A'' = (___,___)

Answers

Bubble in your answers below for problems #1-7.

(0,-4)

(2,-3)

(-2,4)

(5,0)

(-4,-4)

(3,2)

(2,-2)

(-4,0)

(5,-1)

(-2,-1)

(0,5)

(2,4)

(-4,4)

(-1,5)

? 2018 Math in Demand

8 Reflect point A over the line y = x then rotate 90? clockwise. Give the coordinates of A''.

9

Rotate point A

90? counterclockwise

then shift 2 units left and 1

unit down.

10 Shift point A right 6 units and up 4 units

then reflect over the y-axis.

A(-3,-6) A'(__,__)

A(-2,0) A'(__,__)

A(5,-1) A'(__,__)

11 Reflect point A over the x-axis then rotate 180? clockwise.

A(8,7) A'(__,__)

A'(__,__) A''(__,__) A'(__,__) A''(__,__) A'(__,__) A''(__,__) A'(__,__) A''(__,__)

12 Determine the type 13

of transformation that

D'

would give the following:

A'

A(4,3) A'(3,-4) A''(-3,-4)

A

A''

D''

C'

B'

B B''

C''

a.) R90cw then ry-axis b.) ry-axis then R90ccw c.) T(-1,-7) then R90cw d.) R90ccw then T(-6,0)

D

C

e.) R180cw then rx-axis f.) T(-1,-7) then R90ccw g.) R90ccw then rx-axis h.) rx-axis then R90cw

14

A

B

C

C''

C'

A''

A'

B''

B'

i.) rx-axis then R90cw j.) R90cw then T(5,1) k.) R90ccw then T(5,1) l.) T(5,1) then rx-axis

Reflection: From this activity, I learned...

Answers

Bubble in your answers below for problems #8-14.

a

h

(-8,7)

b

i

(9,5)

c

j

(-6,-3)

d

k

(-2,-3)

e

l

(-5,9)

f

(2,3) (-11,3)

g

(-3,6) (7,-8)

? 2018 Math in Demand

Score (__/__)

Sequence of Transformations

Worksheet Practice

Directions: Determine the sequence of transformations. Make sure to bubble in your answers below on each page so that you can check your work. Show all your work!

1 Reflect point A over the x-axis then rotate

90? counterclockwise.

2 Translate point A up 3 3 Rotate point A 180?

and right 6 units, then

clockwise then shift

reflect over the y-axis. left 3 units and down 1 unit.

4 Reflect point A over the y-axis then rotate 90? clockwise.

A

A''

A

A'

A''

A'' = (_2__,_-2__)

5 Reflect ABC over the x-axis then shift

right 3 units and up 3 units.

A C

B B''

A''

C''

B'

C' A'

C'' = (_5__,_0__)

A'' A'

A

A'' = (_-_2_,_-_1_)

6 Shift ABCD down 5 units then rotate 90? clockwise.

A

B

D

C

D''

A''

A'

B'

C''

B''

D'

C'

C'' = (_-4__,_-_4_)

A''

A'

A'' = (_0__,_-4__)

7 Reflect point A over the x-axis then rotate 90? counterclockwise.

A

B

B'

A'

D

C C'

D'

C''

D''

B''

A''

D'' = (__5_,_-_1_)

A'

A

A'' = (_-_4_,_4__)

Answers

Bubble in your answers below for problems #1-7.

(0,-4)

(2,-3)

(-2,4)

(5,0)

(-4,-4)

(3,2)

(2,-2)

(-4,0)

(5,-1)

(-2,-1)

(0,5)

(2,4)

(-4,4)

(-1,5)

? 2018 Math in Demand

8 Reflect point A over the line y = x then rotate 90? clockwise. Give the coordinates of A''.

9

Rotate point A

90? counterclockwise

then shift 2 units left and 1

unit down.

A(-3,-6) A'(_-6_,_-_3)

A(-2,0) A'(_0_,_-2_)

10 Shift point A right 6 units and up 4 units

then reflect over the y-axis.

A(5,-1) A'(_11_,_3_)

11 Reflect point A over the x-axis then rotate 180? clockwise.

A(8,7) A'(_8_,_-7_)

A'(-_6_,_-3_) A''(_-3_,_6_) A'(_0_,_-2_) A''(_-2_,_-3_) A'(_11_,_3_) A''(-_1_1,_3_) A'(_8_,_-7_) A''(_-8_,_7_)

12 Determine the type 13

of transformation that

D'

would give the following:

A'

A(4,3) A'(3,-4) A''(-3,-4)

A

A''

D''

C'

B'

B B''

C''

a.) R90cw then ry-axis b.) ry-axis then R90ccw c.) T(-1,-7) then R90cw d.) R90ccw then T(-6,0)

D

C

e.) R180cw then rx-axis f.) T(-1,-7) then R90ccw g.) R90ccw then rx-axis h.) rx-axis then R90cw

14

A

B

C

C''

C'

A''

A'

B''

B'

i.) rx-axis then R90cw j.) R90cw then T(5,1) k.) R90ccw then T(5,1) l.) T(5,1) then rx-axis

Reflection: From this activity, I learned...

Answers

Bubble in your answers below for problems #8-14.

a

h

(-8,7)

b

i

(9,5)

c

j

(-6,-3)

d

k

(-2,-3)

e

l

(-5,9)

f

(2,3) (-11,3)

g

(-3,6) (7,-8)

Answers will vary!

? 2018 Math in Demand

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