1. Which of These Shows a Pair of Figures Equivalent by a Translation?

GEOMETRIC TRANSFORMATIONS WORKOUT #1

1. Which of these shows a pair of figures equivalent by a translation?

a b c d

2.

Circle the figures that could be translations of the figure in the middle. /

3.

The same translation that translates triangle P to triangle Q would translate square X to which square? /

GEOMETRIC TRANSFORMATIONS WORKOUT #2

1. Which of these shows a pair of figures equivalent by a rotation of the square?

a b c d

2.

Which of the labeled triangles could be the image of the grey triangle by a rotation? /

3.

A rotation sends Arrow 1 to Arrow 2. The same rotation sends Arrow 2 to Arrow 3.
Where does this rotation send square X? /

GEOMETRIC TRANSFORMATIONS WORKOUT #3

1.

Where is the center of the dilation which sends triangle bcd to triangle ace. /

2.

Draw the image of triangle ABC by the dilation with center A and scale factor 2. /

3.

Draw the image of trapezoid ABCD by the dilation with center X and scale factor 1/2. /

GEOMETRIC TRANSFORMATIONS WORKOUT #4

1. Which of these pictures shows two objects equivalent by a COMBINATION of a nontrivialdilation centered at the bottom left cornerof the square AND a nontrivial translation?

a b c d

2.

Which of the green triangles could be an image of the grey triangle by a dilation centered at point X. /

3.

Draw the image of the red figure by a dilation centered at point C with scale factor 3? /

GEOMETRIC TRANSFORMATIONS WORKOUT #5

1. Which of these pictures shows two objects equivalent by a reflection in the dotted line?

a b c d

2.

Two reflections can be combined by in reflecting first in one line, then reflecting in another.
Reflecting in which two lines will send the one figure to the other figure?
Does it matter which order? (Is reflecting in line A then line B equivalent to reflecting first in line B then in line A?) /

3.

Where is the image of figure x if it reflected first in line P then in line Q? /

GEOMETRIC TRANSFORMATIONS WORKOUT #6

1.

The two triangles are equivalent by a rotation.
Where is the center of this rotation? /

2.

A rotation sends figure A to figure B.
Draw where this rotation sends the yellow square. /

2.

Describe a combination of a translation and a rotation that will send triangle A to triangle B. /

GEOMETRIC TRANSFORMATIONS WORKOUT #7

1. Are these two figures are equivalent by the following nontrivial transformations?

Mark YES or NO for each.

/ YES or NO: Translation
YES or NO: Reflection
YES or NO: Rotation
YES or NO: Dilation

2.

Draw the image of the yellow triangle by a reflection over the line through points A and B.
Draw the image of the yellow triangle by a reflection over the line through points B and C.
Draw the image of the yellow triangle by a reflection over the line through points C and A. /

3.

Draw the image of the yellow triangle by a rotation centered at point A.
Draw the image of the yellow triangle by a rotation centered at point B.
Draw the image of the yellow triangle by a rotation centered at point C. /

GEOMETRIC TRANSFORMATIONS WORKOUT #8

1.

A translation sends square T to square R.
Where is point x sent to by this translation? /

2.

Are these two figures are equivalent by the following nontrivial transformations? Mark YES or NO for each.
YES or NO: Translation
YES or NO: Reflection
YES or NO: Rotation
YES or NO: Dilation /

3.

Describe a combination of a translation, rotation, and a dilation that will send triangle A to triangle B. /

GEOMETRIC TRANSFORMATIONS WORKOUT #9

1. Which of these pictures shows two triangles equivalent by a nontrivial dilation centered at the bottom left cornerof the square?

a b c d

2.

Draw all the images of point p by all possible rotations centered at point C? /

3.

Draw all the images of point p by all possible dilations centered at point C? /