Name:
Test Review #7B
1. Find the scale factor used to create the dilation shown on the coordinate plane below. Which
algebraic representation represents the dilation?
(8.3C) (8.1C)
A. (x, y) → (x+2, y+1)
B. (x, y) → (x+1, y+3)
C. (x, y) → (
)
D. (x, y) → (
)
2.
has been transformed to create
of the transformation? (8.10C) (8.1C)
. What algebraic representation explains the effect
C
F. (
)(
G. (
)(
H. (
)(
J. (
)(
)
A
)
B
)
R
)
P
Q
3. The figure is rotated 90⁰ clockwise about the origin. Which best describes the transformation
and algebraic expression? (8.10C) (8.1C)
A. Coordinates of the rotated image have changed signs
(
)(
)
B. Coordinates of the rotated image have switched places
)(
)
and changed signs (
C. Coordinates of the rotated image have switched places
(
)(
)
D. Coordinates of the rotated image have switched places
)(
and the new 2nd coordinate has changed signs (
)
4. As the Jones family children get older, the parents decide to put a larger slide on the swingset for the children to play with. The new slide is similar to the old slide, only bigger. How tall is
the new slide? (8.3A) (8.1A)
5. Trapezoid WXYZ is a dilation of trapezoid KLMN. What proportion could be used to solve for
the length of ̅̅̅̅̅ ? (8.3A) (8.1F)
A.
C.
B.
D.
6. A dilation was performed. Determine which of the following statements are true. Circle ALL
the statements that are true.
(8.3B) (8.1G)
i. the shapes are similar
ii. the shapes are congruent
iii. an enlargement was created
iv. a reduction was created
v. the shapes have congruent angles
vi. the shapes have the same orientation
7. ∆ABC is rotated 270o about the origin, and then dilated by a factor of 150% to create ∆DEF.
Which of the following statements is true?
(8.10A) (8.1G)
A. The transformed shape will be congruent and have the same orientation.
B. The transformed shape will be enlarged and have a different orientation.
C. The transformed shape will be reduced and have a different orientation.
D. The transformed shape will be congruent to the original and have a different orientation.
8. A triangle has vertices E(−3, 8), F(7, −1), and G(−2, 0). The triangle is dilated so that vertex
E′ has coordinates (−1, 2 ). Which algebraic representation represents the dilation?
(8.3C) (8.1C)
F. (x, y) → ( x, y)
H. (3x, y) → (x+2, y)
G. (x, y) → (3+x, 3+y)
J. (x, y) → (3x, 3y)
9. Decide which statements are true based on the transformation shown on the coordinate
plane.
(8.10A) (8.1G)
The triangles are congruent.
True/False because ____________________________
Corresponding angles in the triangles are equal.
True/False because ____________________________
Corresponding sides in the triangles are proportional.
True/False because ____________________________
The triangles have the same orientation.
True/False because ____________________________
Name:
Test Review #7B
10. Mrs. Johansen started with ∆RST and then performed four transformations. Which statement
is NOT true? (8.10B) (8.1B)
Transformation
Description
1
Reflection over the y-axis
2
180° rotation about the origin
3
Translation down 8 units and left 5 units
4
Dilation by a scale factor of
F. Transformation 1 preserves congruence but not orientation. The image is the same
size but turned backwards from the original position.
G. Transformation 2 preserves congruence but not orientation. The image is the same
size but turned upside down from the original position.
H. Transformation 3 preserves orientation and congruence. The image is the same size
and has the same position as the original.
J. Transformation 4 preserves orientation and congruence. The image is the same size
and has the same position as the original.
11. Which transformation(s) does NOT preserve orientation?
(8.10B) (8.1G)
A. Rotation and dilation
C. Rotation only
B. Rotation and reflection
D. Rotation, reflection, and translation
12. The ordered pairs of line segment ABC are shown in the table. What would be the effect on
the area after a dilation using a scale factor of 50%?
(8.10D) (8.1G)
Vertex
Point
A
(–13, 1)
B
(–13, 3)
C
(12, 1)
F. The new area would be 2 times as big because the new shape is larger.
G. The new area would be 4 times as big because area is two dimensions and 2x2=4.
H. The new area would be
J. The new area would be
as big because 50% = .
as big because area is two dimensions and
x
.
13. Write an algebraic expression to represent a reflection over the x-axis. (8.10C) (8.1C)
)(
) because the x-values change sign but not the y-values.
A. (
B. (
)(
) because the y-values change sign but not the x-values.
C. ( )  (
changes sign.
) because the coordinates change places and the new 2nd coordinate
)(
D. (
changes sign.
) because the coordinates change places and the new 1st coordinate
14. If
<2 is 65o which of the following is true if lines j and k are parallel?
(8.8D) (8.1G)
F. The
<3 is 125o because <2 and <3 are supplementary so they add up to 190o.
G. The
<8 is 125o because <2 and <8 are alternate exterior angles so they add up to
190o because they are supplementary.
H. The
<1 is 115o because <1 and <2 are supplementary so they add up to 180o.
J. The
<5 is 115o because <2 and <5 are alternate exterior angles so they have the
same measure.
15. Quadrilateral WXYZ is the result of a dilation. Which algebraic representation shows how the
coordinates of quadrilateral WXYZ? (8.3C) (8.1C)
A. (x+6, y+6) → (x, y)
C. (x, y) → (x+6, y+6)
B. (x, y) → (
)
D. (x, y) → (4x, 4y)
16. A triangle has vertices A(0, 5), B(4, –6) , and C(5, 3). The triangle is dilated so the vertex C′
is at (1, 0.6). Which algebraic representation represents the dilation?
(8.3C) (8.1C)
F. (0.2x, 0.2y) → (x, y)
H. (5x, y) → (x-4, y–2.4)
G. (x, y) → (5x, 5y)
J. (x, y) → (0.2x, 0.2y)
17. Which of the following statements is true if lines j and k are parallel?
(8.8D) (8.1G)
A. <5 and <7 are alternate interior angles because they are on opposite sides of the
transversal and have the same measure.
B. <3 and <5 are alternate exterior angles because they are on opposite sides of the
transversal and have the same measure.
C. <2 and <6 are vertical angles because they are across from each other and have the
same measure.
D. <4 and <8 are corresponding angles because they are in the same position and have
the same measure.
18. Trapezoid DEFG is reflected across the x-axis and then dilated by a scale factor of 2.5 to
create trapezoid DʹEʹFʹGʹ. What will be the effect of the dilation on the perimeter of the new
image?
(8.10D) (8.1G)
F. The perimeter of the new rectangle is
.
G. The perimeter of the new rectangle is 2.5 times as big.
H. The perimeter of the new rectangle is 2.52 times a big.
J. The perimeter of the new rectangle is 2x2.5 times as big.
19. The figure is rotated 180⁰ clockwise about the origin, write an algebraic expression to
represent the rotation. (8.10C) (8.1C)
A. (
)(
)
B. (
)(
)
C. (
)(
D. (
)(
)
)
20.
is dilated by 300% and then translated down 10 units. Which algebraic representation
explains the effect of the transformations?
(8.10C) (8.1C)
F. (
)(
)
H. (
)(
)
G. (
)(
)
J. (
)(
)
21. The following table shows coordinates of a dilation. Which algebraic representation shows
how the new coordinates were created? (8.3C) (8.1C)
Triangle ABC
A. (
)(
B. (
)(
C. (
)(
D. (
)(
)
)
)
)
Triangle A’B’C’
(
)
(
)
(
)
(
)
(
)
(
)
22. Which of the following shows a dilation with the rule (
y
F.
)
(
)?
(8.3C) (8.1D)
y
H.
A
A
C' B
A'
B'
B
x
C C'
x
C
B'
A'
G.
J.
y
y
A'
A'
B'
A
B'
B
A
B
C'
x
C
x
C
C'
23. If the shapes below are similar, which proportion can be used to find the length of GH and
what is the length of GH?
A
B
E
8 in
D
F
10 in
12 in
C
H
G
A.
; 15 inches
C.
; 15 inches
B.
; 16 inches
D.
; 16 inches