Math 9
Chapter 8 Study Guide
Date
Name
1.
In the diagram shown, AABC ry AA/B'C/.
Under which type of transformation is AA/B/C'
the image of AABC?
Which of the following will map AABC
a) a line reflection
onto
?
AAIBICI
c
b) a rotation
c) a translation
d) a enlargement
B
e) a dilation
A
Z
A
B
a) clockwiseturn 90o about the origin
b) counterclockwiseturn 90o about the origin
c) reflection in the y-axis
d) reflectionin the r-axis
e) translation 2 units right and 1 units up
3.
Which of the following best describesthe
rotation of a figure?
a) a slide of the figure
4.
AABC is reflectedin the y-axesso that the
imageof AABC is AA/B'C/. Which of
the following statements are true about any
reflection?
b) a flip of the figure over some fixed line
L
The distancesAB/ and BA/ are
equal.
II.
lB = lBl
m.
The orientation of the figure stays
the same. That is, if AABC is read
clockwise,then AA/B/C' is read
clockwise.
IV.
The reflection image is congruent to
the original figure.
c) a turning of the figure about somefixed point
d) an enlargementor a reduction of the figure
e) a mirror image of the figure
a) I only
c\
I and II only
e) I, II and IV
b) III only
d) II and fV only
Page 2
5.
A triangle has verticesA(-5,2), B(-3,5), and
C(-2,1). Which of the followingtranslalions
will place the image triangle in the fourth
quadrant?
6.
Using the translation that maps (2,-3) to its
image (-1, -5), completethe mapping for this
translation: (*,A) - (-,-).
In which quadrant doesthe image of (3,-2) lie
after a reflection in the origin?
a) 6 units right, 7 units up
b) 6 units left',7 units down
c) 4 units right, 7 units down
d) 6 units right, 7 units down
e) 4 units left, 7 units up
7.
A point (15,5) is translated8 units to the right
and 3 units up. What are the coordinatesof the
image point?
8.
9.
The three verticesof AABC are in QuadrantII.
If AABC is reflected in the gr-axis,its image
will lie in Quadrant
10. What is the image of the point (4, -3) under a
reflection in the origin?
a) I
b) II
c) III
d) rv
d) (3,-4)
e) (-8, a)
e) partly in I and partly in II
11. A point (2,2) is reflected over the g-axis. What
are the coordinatesof the image point?
t2.
What are the coordinatesof A/, the image of
point A(6,3) after a reflection in the r-axis?
Page 3
13.
A/ is the image of A. Which of the following
rotations could be used to perform this
transformation?
I.
90o counterclockwise
II.
90o clockwise
III.
270o clockwise
IV.
270o counterclockwise
rotati
of
imaee of point A after a rotation
14. What is the image
direction?
in
the
counterclockwise
90o
E
G
D
B
F
H
c
A
A
b)c
a)B
c)D
d)E
e)F
Al
a) I only
b) II only
d) II and IV
e) I and III
c) III only
1 5 . What is the image of (-4, 1) after a rotation of
180oclockwise?
a) (-1,-a)
b) (1,4)
d) (4,1)
e ) ( 1 ,- a )
16. What is the image of point A after a rotation of
90o in the counterclockwisedirection followed bv
a reflection in the g-axis?
c) (a,-1)
E
G
D
B
H
F
c
a)c
b)c
A
c)D
d)E
e)H
Page 4
t7. What a,re the coordinates of (1,2) after a
translation down 2 units and then a rotation
of 180' in a counterclockwise direction about
18. What are the coordinates of point (3,2) after a
reflection in the gr-axis, and then a three-quarter
rotation counterclockwise about (0, 0)?
(0,0)?
a) (0,1)
b ) ( 0 ,- 1 )
d ) ( - 1 ,o )
e) (1,0)
c) (1,1)
19. What are the coordinatesof the image point
under the given dilation?
20. Which of the following is the correct
mapping for the dilation that would map
AABC -r AA'B'C/ ?
Originalpoint: A(2,3)
Mapping: (*,y) - (2r,2y)
Image point: A'(-,-)
a) (4,6)
b) (1,2)
d) (6,4)
e) (4,5)
c) (2,1)
a) (r, 11- (rn,|u)
b) (r, s) +
(r, y) -")
d ) ( r ,s ) - e ) ( r ,y ) - -
(2n,2y)
(s - 2,A- 2)
(r *2,y *2)
(i* - 2,|v - 2)