GTW
#1
Geometric
Transformations
Workout
TRANSLATION
1. Which of these shows a pair of figures in which one is a translation of the other?
a
b
2. Which of the labeled figures is a
translation of the gray figure in
the middle?
c
d
3. The same translation that ­translates
triangle P to triangle Q would
­translate square X to which square?
Geometric Transformations Workout 1 – TRANSLATION
GTW
#2
Geometric
Transformations
Workout
ROTATION
1. Which of these shows a pair of figures in which one is a rotation of the other?
a
b
c
d
2. A rotation sends triangle A to triangle B. Where is the center of this rotation?
3. A rotation centered at point C sends
­figure A to figure B. Draw the image of
the gray rectangle under this rotation.
Geometric Transformations Workout 2 – ROTATION
GTW
#3
Geometric
Transformations
Workout
REFLECTION
1. Which of these pictures shows one object related to the other by a reflection
across the dotted line?
a
b
2. Two reflections can be combined by
reflecting first across one line, then
reflecting across another line.
c
d
3. Where is the image of figure x if it
is reflected first across line P, then
across line Q?
Reflecting across which two lines will
send one figure to the other figure?
Does it matter which order?
Geometric Transformations Workout 3 – REFLECTION
GTW
#4
Geometric
Transformations
Workout
DILATION
1. Where is the center of the dilation
that 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 – DILATION
GTW
#5
Geometric
Transformations
Workout
DILATION
1. Is one of these figures the image
of the other by the following
nontrivial transformations?
Mark Yes or No for each.
Translation: Yes or No
Reflection: Yes or No
Rotation: Yes or No
Dilation: Yes or No
2. Which of the labeled triangles is the
image of the gray triangle by a dilation
centered at point X?
3. Draw the image of the red figure by
the dilation centered at point C with
scale factor 3.
Geometric Transformations Workout 5 – DILATION
GTW
#6
Geometric
Transformations
Workout
ROTATION
1. Describe a combination of a translation and a rotation that will send
­triangle A to triangle B.
2.Which of the labeled triangles could
be an image of the gray triangle by
a rotation?
3.A rotation sends Arrow 1 to Arrow 2.
Which of the labeled squares
is the image of square X under
this ­rotation?
Geometric Transformations Workout 6 – ROTATION
GTW
#7
Geometric
Transformations
Workout
ALL TRANSFORMATIONS
1. Is one of these figures the image of the other under the
­following nontrivial transformations? Mark Yes or No for each.
Translation: Yes or No
Reflection: Yes or No
Rotation: Yes or No
Dilation: Yes or No
2.Draw the image of the yellow triangle
by a reflection across the line
through points A and B.
Draw the image of the yellow triangle
by a reflection across the line
through points B and C.
3.Draw an image of the yellow triangle
by a rotation centered at point A.
Draw an image of the yellow triangle
by a rotation centered at point B.
Draw an image of the yellow triangle
by a rotation centered at point C.
Draw the image of the yellow triangle
by a reflection across the line
through points C and A.
Geometric Transformations Workout 7 – ALL TRANSFORMATIONS
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#8
Geometric
Transformations
Workout
ALL TRANSFORMATIONS
1.A translation sends square T to square R. Where does this translation
send point X?
2.Is one of these figures the image of
the other by the following nontrivial
transformations? Mark Yes or No
for each.
3.Describe a combination of a
translation, rotation, and a dilation
that will send triangle A to triangle B.
Translation: Yes or No
Reflection: Yes or No
Rotation: Yes or No
Dilation: Yes or No
Geometric Transformations Workout 8 – ALL TRANSFORMATIONS
GTW
#9
Geometric
Transformations
Workout
DILATION AND ROTATION
1.Which of these pictures shows two objects that are a combination of a
nontrivial dilation centered at the bottom left corner of the square and
a nontrivial translation?
a
b
2.Draw all the images of point P by all
possible rotations centered at point C.
c
d
3.Draw all the images of point P by all
possible dilations centered at point C.
Geometric Transformations Workout 9 – DILATION AND ROTATION