Math 8 Transformations

Translations

100

Describe in one word what a Translation does to a point/figure.

Move/Slide

200

Translate A( 4 , 5 ) 6 units left and 4 units down.  What is the coordinate A' ?

A'( -2 , 1 )

300

Translate B( -2 , 1 ) using the rule ( x + 8 , y - 3 ).  What is the coordinate B' ?

B'( 6 , -2 )

400

Translate triangle DEF 3 units left and 7 units up.  D( -6 , -6 ) , E( -3 , -6 ) , and F( -6, 1 ).  What are the coordinates of triangle D'E'F' ?

D'( -9 , 1 ) , E'( -6 , 1 ) , and F'( -3 , 8 )

500

Translate triangle ABC using the rule ( x - 10 , y + 8 ).  A( 7 , -6 ) , B( 6 , -2 ) , and C( 1 , 0 ).  What are the coordinates of triangle A'B'C' ?

A'( -3 , 2 ) , B'( -4 , 6 ) , and C'( -9 , 8 )

Reflections

100

Describe in one word what a Reflection does to a point/figure.

Flip/Mirror Image

200

Write a description of how to reflect a triangle across the y-axis.

From each point, count how many units the point is from the y-axis, then count the same amount of units on the other side of the y-axis.  Plot the point.  Label the image points with prime marks.

300

If point A is located at ( 5 , 6 ) and it is reflected across the x-axis, what would point A' be?

A'( 5 , -6 )

400

Reflect triangle KDG over the y-axis.  K( 1 , 5 ) , D( 0 , 1 ) , and G( 8 , 3 ).  What are the coordinates of triangle K'D'G' ?

K'( -1 , 5 ) , D'( 0 , 1 ) , and G'( -8 , 3 )

500

Reflect triangle KLM over the x-axis.  THEN, reflect triangle K'L'M' over the y-axis.  K( 2 , 1 ) , L( 6 , 2 ) , and M( 3 , 4 ).  What are the coordinates of triangle K''L''M'' ?

K'( 2 , -1 ) , L'( 6 , -2 ) , and M'( 3 , -4 )

K''( -2 , -1 ) , L''( -6 , -2 ) , and M''( -3 , -4 )

Rotations

100

Describe in one word what a Rotation does to a point/figure.

Spin/Turn

200

When you rotate figures about the origin, you turn your paper.  When writing directions for the rotation, what coordinate do you always start from?

The origin (0,0).

300

Rotate F( -5 , -3 ) 90^o clockwise about the origin.  What are the coordinates of F' ?

F' ( -3 , 5 )

400

Rotate rectangle DEFG 90^o counterclockwise about the origin.  D( 2 , 2 ) , E( 5 , 2 ) , F( 5 , 6 ) , and G( 2 , 6 ).  What are the coordinates of D'E'F'G' ?

D'( -2 , 2 ) , E'( -2 , 5 ) , F'( -6 , 5 ) , and G'( -6 , 2 )

500

Rotate triangle ABC 180^o about the origin.  A( -4 , 2 ) , B( 0 , 5 ) and C( 3 , 1 ).  What are the coordinates of A'B'C' ?

A'( 4 , -2 ) , B'( 0 , -5 ) and C'( -3 , -1 )

Vocabulary

100

Name the four transformations we've learned!

Translations, reflections, rotations, and dilations

200

What is the center of the coordinate plane called?

Origin

300

What is the name of the symbol you must use when you label any transformation? 

A' 

The prime symbol

Dilations

100

Describe what a Dilation does to a figure.

Enlarges or Shrinks

200

Which operation does a Dilation do to its coordinates/side lengths?  (What do you do with the scale factor?)

Multiplication

300

What is the scale factor of the dilation if the following points are the image and pre-image.  C'( -9 , 12 ) and C( -15 , 20 ) .

Scale factor of 3/5

400

Dilate H( 12 , 16 ) by a scale factor of 6.  What are the coordinates of H' ?

H'( 72 , 96 )

500

Dilate triangle ABC by a scale factor of 1/2.  A( 14 , 10 ) , B( -18 , 6 ) , and C( -8 , 3 ).  What are the coordinates of A'B'C' ?

A'( 7 , 5 ) , B'( -9 , 3 ) , and C'( -4 , 1.5 )