Translations
Reflections
Rotations
Composition Transformations
Miscellaneous
100

Translate the point A(-6, 8) using the vector <5, -2> to find the image. 

A'(-1, 6)

100

Find the image of (-3, -4) after a reflection in the x-axis.  

(-3, 4)

100

Find the image of (9, -4) after a 90o counterclockwise rotation. 

(4, 9) 

100

What are the coordinates of a point A(-6, 2) after the composition?

(x, y)->(x+5, y-4)

(x,y)->(x, y+11)

A"(-1, 9) 

100


BC = 56

200

Find the PRE-image of the point B'(-6, 2) that has been translated using the vector

(x, y)->(x-4, y+2)

B(-2, 0) 

200

Name the image of (9, -3) after a reflection in the line y = x.

(-3, 9)

200

Find the image of (3, -7) after a 270o counterclockwise rotation.

(-7, -3)

200

What are the coordinates of a point A(-6, 2) after the composition?

A 180o counterclockwise rotation followed by 

a reflection in the x-axis. 

(6, 2) 

200

Given that C falls between A and B, find the length of AC if AB = 8x - 4, AC = 3x+ 2, BC = 2x + 18.

AC = 26

300

Translate the point A(1, 0) using the vector

(x, y)->(x-11, y-12)

A(-10, -12)

300

Find the image of (-7, 5) after a reflection in the y-axis.  

(7, 5)

300

Find the image of (-7, -8) after a 180o counterclockwise rotation.

(7, 8)

300

What are the coordinates of a point A(-6, 2) after the composition?

A reflection in the line y = x followed by 

(x,y)->(x-7,y+11)

(-5, 5) 

300

Find the perimeter and area of the triangle with the vertices A(-4, 8), B(-1, 8), and C(-4, 2). 

Perimeter is 15.7 units

Area is 9 square units

400

Find the PRE-image of the point A'(4, -7) that has been translated using the vector <6, 15>

A(-2, -22)

400

Find the image of (-3, -4) after a reflection in the line y = -x

(4, 3) 

400

Find the image of (-1, 0) after a 270o counterclockwise rotation.

(0, 1)

400

What are the coordinates of a point A(-6, 2) after the composition?

A 270counterclockwise rotation followed by 

a reflection in the line y = -x

(-6, -2) 

400

20 degrees

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