Unit 7 Test Review
Date:
Name:
1.
A rotation of a gure can be considered
4.
Under which transformation is size not preserved?
A.
a turing of the gure about some xed point
A.
translation
B.
re ection
B.
a slide of the gure.
C.
dilation
D. rotation
C.
an enlargement or a reduction of the gure
D. a mirror image of the gure
2.
Triangle ABC is graphed on the set of axes below.
5.
In the diagram below, ^A0 B0 C0 is a transformation
of ^ABC, and ^A00 B00 C00 is a transformation of
^A0 B0 C0 .
Which transformation produces an image that is
similar to, but not congruent to, ^ABC?
The composite transformation of ^ABC to
^A00 B00 C00 is an example of a
3.
After the translation that shifts (x; y) to
(x + 2; y 2), the image of point B( 3; 0) lies in
Quadrant
page 1
6.
10.
In the accompanying diagram, ^A0 B0 C0 is the
image of ^ABC. Which type of transformation is
represented by ^A0 B0 C0 ?
A.
rotation
B.
translation
C.
re ection
D. dilation
7.
8.
Which transformation is represented by the
illustration?
A.
re ection
B.
dilation
C.
translation
D. rotation
11.
Using the translation that maps (3; 4) to its
image (1; 0), what is the image of any point (x; y)?
12.
In the diagram shown, ^ABC is similar but not
congruent to ^A0 B0 C0 . Which transformation is
represented by ^A0 B0 C0 ?
If point R0 (6; 3) is the image of point R(2; 1) under
the dilation with respect to the origin, what is the
constant of the dilation?
The best description of a dilation of a gure is
A.
an enlargement or a reduction of the gure
B.
a slide of the gure
C.
a turning of the gure about some xed point
A.
rotation
B.
translation
C.
re ection
D. dilation
D. a mirror image of the gure
13.
9.
Point P0 ( 6; 4) is the image of point P( 2; 3)
under translation T. What is the image of (5; 1)
under the same translation?
page 2
The transformation T( 2; 3) maps the point (7; 2)
onto the point whose coordinates are
A.
(9; 5)
B.
(5; 5)
C.
(5; 1)
D. ( 14; 6)
Unit 7 Test Review
14.
15.
16.
Which type of transformation is illustrated in the
accompanying diagram?
17.
In which quadrant does the image of ( 4; 1) lie
after a re ection in the origin?
Which transformation is not always an isometry?
In the diagram below, under which transformation
is ^A0 B0 C0 the image of ^ABC ?
A.
D2
C.
ry
B.
axis
rx
axis
D. (x; y) ! (x
2; y)
18.
What is the image of point ( 3; 7) after a
re ection in the x-axis?
19.
Triangle A0 B0 C0 is the image of ^ABC under a
dilation such that A0 B0 = 21 AB. Triangles ABC and
A0 B0 C0 are
A.
congruent but not similar
B.
similar but not congruent
C.
both congruent and similar
D. neither congruent nor similar
page 3
Unit 7 Test Review
20.
The parabola shown in the accompanying diagram
undergoes a re ection in the y-axis.
22.
The coordinates of the vertices of ^ RST are
R( 2; 3), S(4; 4), and T(2; 2). Triangle R0 S0 T 0 is
the image of ^RST after a rotation of 90 about
the origin.
State the coordinates of the vertices of ^R0 S0 T 0 .
[The use of the set of axes below is optional.]
What will be the coordinates of the turning point
after the re ection?
21.
23.
What are the coordinates of the image of P( 2; 5)
after a clockwise rotation of 90 about the origin?
24.
What are the coordinates of the image of
point ( 1; 2) under a dilation of 3 with respect to
the origin?
What are the coordinates of A0 , the image of
A( 2; 5) under a re ection in the line y = x?
page 4
Unit 7 Test Review
25.
The coordinates of point A are (3; 1). What
are the coordinates of A under the transformation
(T2; 5 rx-axis )(A)?
26.
On the set of axes below, Geo drew
rectangle ABCD. He will transform the rectangle
by using the translation (x; y) ! (x + 2; y + 1) and
then will re ect the translated rectangle over the
x-axis.
29.
Which transformation represents a dilation?
30.
Which mapping represents a dilation?
A.
(x; y) ! (y; x)
B.
(x; y) ! (x + 2; y + 2)
C.
(x; y) ! ( y; x)
D. (x; y) ! (2x; 2y)
31.
What will be the area of the rectangle after these
transformations?
27.
The image of point A after a dilation of 3 is
(6; 15). What was the original location of point A?
28.
Point P0 is the image of point P( 3; 4) after
a translation de ned by T(7; 1) . Which other
transformation on P would also produce P0 ?
page 5
The coordinates of the vertices of parallelogram
ABCD are A( 2; 2), B(3; 5), C(4; 2), and
D( 1; 1). State the coordinates of the vertices
of parallelogram A00 B00 C00 D00 that result from the
transformation ry axis T2; 3 . [The use of the set
of axes below is optional.]
Unit 7 Test Review
What are the coordinates of A0 , the image of point
A( 3; 4), after a rotation of 180 about the origin?
35.
What is the image of the point (2; 3) after the
transformation ry axis ?
33.
On the accompanying set of axes, draw ^ABC,
whose coordinates are A( 7; 9), B( 2; 8), and
C( 3; 4). Then draw, label, and state the
coordinates of ^A0 B0 C0 , the image of ^ABC after
the transformation that maps (x; y) to ( x; y).
Based on your diagram, identify the type of
transformation that was performed.
36.
If A = ( 2; 3), what is ry-axis D3 (A)?
37.
After a composition of transformations, the
coordinates A(4; 2), B(4; 6), and C(2; 6) become
A00 ( 2; 1), B00 ( 2; 3), and C00 ( 1; 3), as shown
on the set of axes below.
…
32.
y
x


…
34.
Which composition of transformations was used?
Which transformation is not an isometry?
A.
(x; y) ! (x + 6; y
B.
(x; y) ! (y; x)
C.
(x; y) ! ( 12 x; 21 y)
2)
38.
D. (x; y) ! ( y; x)
page 6
If the dilation Dk is an isometry, what must be the
value of k?
Unit 7 Test Review
39.
On the accompanying grid, graph and label
quadrilateral ABCD, whose coordinates are
A( 1; 3), B(2; 0), C(2; 1), and D( 3; 1). Graph,
label, and state the coordinates of A0 B0 C0 D0 , the
image of ABCD under a dilation of 2, where the
center of dilation is the origin.
40.
page 7
Triangle ABC has vertices A( 2; 2), B( 1; 3),
and C(4; 0). Find the coordinates of the vertices
of ^A0 B0 C0 , the image of ^ABC after the
transformation rx axis . [The use of the grid below
is optional. ]
Unit 7 Test Review
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Unit 7 Test Review
03/07/2017
1.
Answer:
A
21.
Answer:
(5; 2)
2.
Answer:
D2
22.
Answer:
R0 (0 3;0 2), S0 (0 4; 4), and T 0 (2; 2).
3.
Answer:
III
23.
Answer:
(5; 2)
4.
Answer:
C
5.
Answer:
24.
Answer:
( 3; 6)
translation followed by a re ection
6.
Answer:
25.
Answer:
(5; 6)
B
7.
Answer:
26.
Answer:
exactly 28 square units
3
8.
Answer:
27.
Answer:
(2; 5)
A
28.
Answer:
R
90
9.
Answer:
(1; 8)
10.
Answer:
29.
Answer:
(8; 4) ! (4; 2)
B
11.
Answer:
(x
30.
Answer:
D
12.
Answer:
D
13.
Answer:
B
32.
Answer:
14.
Answer:
rotation
33.
Answer:
15.
Answer:
IV
16.
Answer:
dilation
17.
Answer:
C
18.
Answer:
( 3; 7)
19.
Answer:
B
20.
Answer:
( 3; 1)
2; y + 4)
31.
Answer:
A00 (0; 1), B00 ( 5; 2), C00 ( 6; 1), and
D00 ( 1; 4)
(3; 4)
A0 (7; 9), B0 (2; 8), and C0 (3; 4), and
point re ection or dilation with a factor
of 1
34.
Answer:
C
35.
Answer:
( 2; 3)
36.
Answer:
(6; 9)
37.
Answer:
D1
38.
Answer:
1
2
R180
Teacher's Key
39.
Answer:
40.
Answer:
Quadrilateral ABCD and its image are
graphed and labeled correctly, and the
coordinates of A0 B0 C0 D0 are stated as
( 2; 6), (4; 0), (4; 2), and ( 6; 2).
A 0 ( 2; 2), B 0 ( 1; 3), and C 0 (4; 0)
Page 2