Translations
in the
Coordinate
Plane
Symmetry in
Reflections
Reflections in
the
Coordinate
Plane
Rotational
Symmetry
Rotations in
the
Coordinate
Plane
Dilations
Translations
in the
Coordinate
Plane
Symmetry in
Reflections
Reflections
in the
Coordinate
Plane
Rotational
Symmetry
Rotations in
the
Coordinate
Plane
Dilations
$100 $100 $100 $100 $100 $100
$200 $200 $200 $200 $200 $200
$300 $300 $300 $300 $300 $300
$400 $400 $400 $400 $400 $400
$500 $500 $500 $500 $500 $500
Which Graph shows the
translation of the letter Z?
If point A is translated 4 units
left and 3 units up, what will be
the coordinates of point A in its
new position?
G. (-5, 5)
Identify the transformation that
is not the same as the other
three. Explain your reasoning.
The transformation
A is not a
translation; the
others are
translations.
Triangle PQR has vertices
P(0, 0), Q(5, -2), and R(-3, 6).
Predict the vertices of P’Q’R’
after the translation 8 units
left, and 1 unit down.
P’(-8, -1)
Q’(-3, -3)
R’(-11, 5)
What are the
coordinates of the
point (x,y) after being
translated m units
left and n units up?
(x – m, y + n)
Determine whether the
figure has line symmetry.
If so, copy the figure and
draw all lines of
symmetry.
Yes, 6 lines of
symmetry
Determine whether the
figure has line symmetry.
If so, copy the figure and
draw all lines of
symmetry.
No, it does not
have line
symmetry.
Describe the ways the symmetry of
the Fogong Monastery, show below
at the left, if similar to that of the
Eiffel Tower in Paris, France, shown
below at the right.
Both structures will
look the same after
reflected over a
vertical line and will
not look the same
after reflected over
a horizontal line.
Flags of some countries have
line symmetry. Of the flags
shown below, which flags
have line symmetry? Copy
and draw all lines of
symmetry.
The drawing shows a car. Copy the
drawing on grid paper. Then draw
the right side of the car so that the
completed drawing has a vertical
line of symmetry.
Copy the figure onto graph
paper. Then draw the image
of the figure after a reflection
over the given line.
Predict the coordinates of
the image’s vertices after
triangle FGH is reflected
over the x-axis.
F (1, -1)
G (5, -3)
H (2, -4)
F’(1, 1)
G’(5, 3)
H’(2, 4)
Which of the following is the
reflection of triangle ABC
with vertices A(1, -1), B(4, -1),
and C(2, -4) over the x-axis.
Marisol found the
results of a reflections
over the y-axis. They
should be A’(1, -1),
B’(4, -1), and C’(1, -5).
Suppose point K with
coordinates (7, -2) is
reflected so that the
coordinates of its image
are (7,2). Without graphing,
which axis was the point
reflected over? Explain
your reasoning.
The x-axis. The xcoordinates are
the same, but the
y-coordinates are
opposites.
Determine whether the figure
has rotational symmetry. If it
does, name the angle(s) of
rotation.
Yes, 180 degrees.
Determine whether the
figure has rotational
symmetry. If it does,
name the angle(s) of
rotation.
No, it does not
have rotational
symmetry.
Show the figure after a
clockwise turn of 90, 180,
and 270 degrees.
Show the figure after
a clockwise turn of
90, 180, and 270
degrees.
Which figure show the
letter F after a rotation
270 degrees clockwise?
Triangle XYZ has vertices
X(2, -2), Y(5, 0), and
Z(3, -4).
What are the coordinates
of point Y’ after a
clockwise rotation of 180
degrees?
(-5, 0)
Triangle XYZ has vertices
X(2, -2), Y(5, 0), and
Z(3, -4).
What are the coordinates
of point Y’ after a
counterclockwise rotation
of 90 degrees?
(0, 5)
Describe what
information is needed
to rotate a figure.
To rotate a figure, you need
to know the number of
degrees it is going to be
rotated, the direction of
rotation, and about what
point the figure is being
rotated.
Draw a figure that has
line symmetry but not
rotational symmetry.
Draw and find the new
vertices of the following
triangle after a
counterclockwise rotation of
270 degrees about the origin.
Quadrilateral LMNP was dilated to
form quadrilateral WXYZ. Which
number best represents the scale
factor used to change quadrilateral
LMNP into quadrilateral WXYZ?
A. 3
B. 2
C. ½
D. 1/3
C. ½
Square A is similar to
square B. What scale factor
was used to dilate square A
to square B?
3/5
Copy the figure shown.
Then draw the figure
centered on X with a scale
factor of 7/3.
Copy the figure shown.
Then draw the figure
centered on Z with a scale
factor of 2/3.
Write a general rule for
finding the new
coordinates of any
ordered pair (x, y) after a
dilation with a scale
factor of k.
Multiply each
member of the
ordered pair (x, y) by
the scale factor k.
The new coordinates
are (kx, ky).
Multiple Transformations
Describe the
image after a
dilation with a
scale factor of -2.