Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
Page 1
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Name: __________________________________
CC.G.CO.5: Given a geometric figure and a rotation, reflection, or translation,
draw the transformed figure using, e.g., graph paper, tracing paper, or geometry
software. Specify a sequence of transformations that will carry a given figure onto
another.
1 The accompanying graph represents the figure
Which graph represents
1)
2)
3)
4)
I.
I after a transformation defined by
?
Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
Page 2
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Name: __________________________________
2 Given point
. State the coordinates of the image of A under the composition
. [The use of the accompanying grid is optional.]
3 On the accompanying grid, graph and label , where A is
and B is
. Under the
transformation
, A maps to , and B maps to . Graph and label
.
What single transformation would map
to
?
Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
Page 3
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Name: __________________________________
4 On the accompanying grid, graph and label
. On the same grid, graph and label
transformation
.
with vertices
. the image of
,
, and
after the
5 Given
with points
,
, and
. On the grid below, sketch
.
On the same set of axes, graph and state the coordinates of
, the image of
after a reflection in the line
. On the same set of axes, graph and state the coordinates
of
, the image of
after the translation
.
Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
Page 4
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Name: __________________________________
6 Triangle ABC has coordinates
,
a On the grid below, draw and label
b Graph and state the coordinates of
.
c Write a transformation equivalent to
, and
.
.
, the image of
.
after the composition
Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
Page 5
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Name: __________________________________
7 Given:
with coordinates
,
a On the graph below, draw and label
b Graph and state the coordinates of
.
c Graph and state the coordinates of
the x-axis.
d Graph and state the coordinates of
in the origin.
, and
.
.
, the image of
, the image of
, the image of
after the translation
after a reflection in
after a reflection
Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
Page 6
www.jmap.org
Name: __________________________________
8 Triangle ABC has coordinates
,
a On the graph below, draw and label
b Graph and state the coordinates of
the line
.
c Graph and state the coordinates of
.
d Graph and state the coordinates of
translation that maps
onto
, and
.
.
, the image of
, the image of
, the image of
.
after a reflection in
following
after a
Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
Page 7
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Name: __________________________________
9 On the graph below, draw and label
, whose vertices are
,
, and
On the same set of axes, graph and state the coordinates of
a
, the image of
after
.
b
, the image of
after
.
c
, the image of
after
.
Based upon these graphs, write a single transformation that shows the composition
.
.
Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
Page 8
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Name: __________________________________
10 Given triangle ABC with coordinates
,
a On the graph below, draw and label
.
b Graph and label
, the image of
c Graph and label
, the image of
d Graph and label
, the image of
, and
.
after translation
.
after a reflection in the origin.
after a reflection in the line
.
Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
Page 9
www.jmap.org
Name: __________________________________
11 Triangle ABC has coordinates
,
a On the graph below, graph and label
b Graph and state the coordinates of
in the origin.
c Graph and state the coordinates of
.
d Graph and state the coordinates of
.
, and
.
.
, the image of
, the image of
, the image of
after a point reflection
reflected in the line
after translation
Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
Page 10
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Name: __________________________________
12 A shape to be used in a computer game is placed on a Cartesian coordinate plane. The
equation of the shape is
. On the accompanying grid, graph the shape
and label it a. In the game, the shape is moved under the composition
. Draw
this image, label it b, and state its equation.
Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
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1 ANS: 3
2 ANS:
REF: 080219b
.
. The coordinates of the image of A after the reflection are
the translation, the coordinates of the image of A are
REF: 080626b
3 ANS:
Single transformations include
REF: 080327b
4 ANS:
REF: 060928b
5 ANS:
;
REF: 080141siii
6 ANS:
,
, and
.
After
Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3
www.jmap.org
;
REF: 019541siii
7 ANS:
;
;
REF: 018739siii
8 ANS:
;
;
REF: 018936siii
9 ANS:
;
;
REF: 089938siii
10 ANS:
;
;
REF: 018541siii
11 ANS:
;
REF: 088741siii
12 ANS:
REF: 061029b
;
;