Review Packet # 2.notebook

Review Packet # 2.notebook
May 14, 2013
Review for Final
Transformations
Day 2
May 7­3:31 PM
1) If translation T maps point A(-3, 1) onto point A'(5,5), what is
the translation T?
2) The transformation T-2,3 maps the point (7, 2) onto the point
whose coordinates are?
3) The image of the origin under a certain translation is the point
(2, -6). What are the coordinates of the image of point (-3, 2)
under the same translation?
May 16­2:55 PM
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Review Packet # 2.notebook
May 14, 2013
4) A translation moves A(2, 3) onto A'(4, 8). What are the
coordinates of B', the image of B(4, 6) under the same
translation?
5) The translation (x, y) (x -2, y + 3) maps the point (7, 2) on
the point whose coordinates are?
6) What is the image of the point (-3, -1) under the translation
that shifts
(x, y) to (x - 2, y + 4)?
May 16­2:58 PM
7) SKIP
8) If the transformation Tx,y maps point A(1, -3) onto point
A'(-4, 8), what is the value of x?
9) Which transformation moves (x, y) to (5x, 5y)?
10) If the distance from the origin to point A is and A' = D3(A),
the distance from the origin to point A' is?
May 16­3:00 PM
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Review Packet # 2.notebook
May 14, 2013
11) If dilation Dk(-2, 4) equals (1, -2), the scale factor k is equal
to ?
12) Under a dilation with respect to the origin, the image of
P(-15, 6) is P'(-5, 2). What is the scale of dilation?
13) If point R'(6, 3) is the image of point R(2, 1) under a dilation
with respect to the origin, what is the constant of dilation?
May 17­6:34 AM
14) In which quadrant would the image of point(5, -3) fall after
a dilation using a factor of -3?
15) What are the coordinates of the point (2, -4) under the
dilation of D-2?
May 17­6:36 AM
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Review Packet # 2.notebook
May 14, 2013
16) What is the image of (-3, 6) when reflected in the x-axis?
17) The three vertices of ΔABC are in quadrant I. If ΔABC is
reflected in the x-axis, its image will lie in what quadrant?
18) Reflecting (5, 1) in the y-axis yields an image of?
19) If a point in quadrant IV is reflected in the y-axis, its image
will lie in what quadrant?
May 17­6:38 AM
20) The point (-3, -2) is reflected in the origin. The coordinates
of its image are?
21) The image of the point (4, -2) under a reflection in the origin
is?
22) If the point (2, -5) is reflected in the line y = x, then the
image is?
23) What are the coordinates of point P, the image of point
(3, -4) after a reflection in the line y = x?
May 17­6:40 AM
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Review Packet # 2.notebook
May 14, 2013
24) What is the image of (5, -2) under the transformation ry = x?
25) What are the coordinates of R', the image of R(-4, 3) after
a reflection in the line whose equation is y = -x?
May 17­6:45 AM
26) When point A(-2, 5) is reflected in the line x = 1, the image
is?
27) Find the image of A(4, -3) under the transformation rx = 2?
May 17­6:47 AM
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Review Packet # 2.notebook
May 14, 2013
28) What is the rule for rotating a point with coordinates
(x, y) 90 degrees?
29) What is the rule for rotating a point with coordinates
(x, y) 180 degrees?
30) What is the rule for rotating a point with coordinates
(x, y) 270 degrees?
May 17­6:49 AM
31) What is the image of A(3, 4) under R90?
32) Find the image of point (6, -2) under R90?
33) Point (-3, 4) is rotated 180 degrees. What are the
coordinates of its image?
May 17­6:51 AM
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Review Packet # 2.notebook
May 14, 2013
34) Which figure always has exactly one line of symmetry?
A)isosceles right triangle
B) trapezoid
C) rectangle
D) circle
35) Which shape has the greatest number of lines of symmetry?
B) rhombus
A) rectangle
D) square
C) parallelogram
May 17­6:52 AM
36) Which kind of symmetry does the word TOOT have?
A) vertical line symmetry, only
B) horizontal line symmetry, only
C) both vertical and horizontal line symmetry
D) neither vertical and horizontal line symmetry
37) Which type of symmetry does the letter D have?
B) both point and line symmetry
A) line symmetry, only
D) neither point nor line symmetry
C) point symmetry, only
May 17­6:55 AM
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Review Packet # 2.notebook
May 14, 2013
38) Which letter have vertical but not horizontal line symmetry?
D) S
C) X
B) B
A) M
39) Which letter has both vertical and horizontal line symmetry?
D) T
C) Y
B) A
A) H
40) Which combination of letters has both vertical and
horizontal line symmetry?
D) NOON
C) ZOO
A) XOOX B) MOM
May 17­6:57 AM
41) (a) On graph paper, draw and label ΔABC whose vertices
have coordinates A(2, 3), B(0, 6) and C(2, 6).
(b) Graph and state the coordinates of ΔA'B'C', the image of
ΔABC after a reflection in the y-axis. A'( ), B'( ), C'( ).
(c) Graph and state the coordinates of ΔA''B''C'', the image of
ΔA'B'C' after a reflection in the line y = x.
A''( ), B''( ), C''( ).
May 17­7:01 AM
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