Transformations Review
Name_____________________________________
1) This figure represents the floor plan of a museum.
Rectangles ABGH and LDEK have diagonals that
intersect at point N. The designer wants the
stairwells to be rotationally symmetric about N.
Which pair of points would be appropriate places
for the stairwells?
Points that are rotationally symmetrical will be diagonal from each other
2) This figure represents the floor plan of a museum.
Rectangles ABGH and LDEK have diagonals that
intersect at point N. The designer wants to place
sculptures in the corners that are rotationally
symmetric about N. Which pair of points would be
appropriate places for the sculptures?
3) This figure represents the floor plan of a museum.
Rectangles ABGH and LDEK have diagonals that
intersect at point N. The designer wants the stairwells
to be rotationally symmetric about N. Which pair of
points would be appropriate places for the stairwells?
4) AE is a line of symmetry in this diagram. If DF=10, CD=6,
CB=4, and AH =3, what is the perimeter of the polygon?
A line of symmetry will divide a shape into equal parts
so fill in missing side lengths with existing side lengths
Date_______________
Transformations Review
Name_____________________________________
5) AE is a line of symmetry in this diagram. If DF=8, CD=7, CB=5,
and AH =4, what is the perimeter of the polygon?
6) AE is a line of symmetry in this diagram. If DF=14, CD=8, CB=3,
and AH =2, what is the perimeter of the polygon?
7) How many lines of symmetry does the polygon have?
Equilateral Triangle
8) How many lines of symmetry does the polygon have?
Isosceles Trapezoid
9) How many lines of symmetry does the polygon have?
Rectangle
Date_______________
Transformations Review
Name_____________________________________
Date_______________
10) How many lines of symmetry does the polygon have?
Parallelogram
11) An isometry is a transformation of an object in which the original object and its image are
congruent. Identify the transformations that are or are not isometries.
Translation
Reflection
Rotation
Dilation
12) Hexagon ABCDEF is reflected across the x-axis to create
AIBICIDIEIFI, which is then rotated 90 degrees
counterclockwise about point F. Graph the final image.
After reflection shape is upside down, then turn it
on its side towards quadrant IV for a clockwise rotation.
13) Hexagon ABCDEF is reflected across the y-axis to
create AIBICIDIEIFI, which is then rotated 90 degrees
counterclockwise about point F. Graph the final
image.
Transformations Review
Name_____________________________________
14) Hexagon ABCDEF is reflected across the x-axis to
create AIBICIDIEIFI, which is then rotated 90 degrees
clockwise about point F. Graph the final image.
15) Which letter has rotational symmetry but NOT reflectional symmetry?
A
O
Z
C
16) Which letter has rotational symmetry but NOT reflectional symmetry?
N
H
P
T
17) Which letter has rotational symmetry but NOT reflectional symmetry?
S
E
D
K
Date_______________
Transformations Review
Name_____________________________________
Date_______________
18) Pre-image point (x,y) is reflected across the line y=-x. Then the new point is translated s units
right and t units down. What are the coordinates of the final image?
19) Pre-image point (x,y) is reflected across the line y=-x. Then the new point is translated s units
right and t units up. What are the coordinates of the final image?
20) Pre-image point (x,y) is reflected across the line y=-x. Then the new point is translated s units
left and t units down. What are the coordinates of the final image?
21) A line segment has endpoints with coordinates (1,4) and (5,8). If the segment is reflected over
the y-axis and then reflected over the x-axis, what are the coordinates of the endpoints of the
resulting line segment?
22) A line segment has endpoints with coordinates (2,4) and (5,7). If the segment is reflected over
the y-axis and then reflected over the x-axis, what are the coordinates of the endpoints of the
resulting line segment?
23) A line segment has endpoints with coordinates (1,3) and (4,8). If the segment is reflected over
the y-axis and then reflected over the x-axis, what are the coordinates of the endpoints of the
resulting line segment?
24) The coordinates of point A are (-2,a). Point B is created by reflecting point A across the x-axis
and then translating the image 2 units to the right. What are the coordinates of point B?
Transformations Review
Name_____________________________________
Date_______________
25) The coordinates of point A are (-3,a). Point B is created by reflecting point A across the x-axis
and then translating the image 3 units to the right. What are the coordinates of point B?
26) The coordinates of point A are (-4,a). Point B is created by reflecting point A across the x-axis
and then translating the image 2 units to the left. What are the coordinates of point B?
27) The pre-image point P(x,y) is dilated by a factor of 3 and then translated up 6 units. Which
transformation also produces image point P(x,y)? (Note: All dilations are centered at the origin.)
28) The pre-image point P(x,y) is dilated by a factor of 4 and then translated up 12 units. Which
transformation also produces image point P(x,y)? (Note: All dilations are centered at the origin.)
29) The pre-image point P(x,y) is dilated by a factor of 3 and then translated up 9 units. Which
transformation also produces image point P(x,y)? (Note: All dilations are centered at the origin.)
30) The ratio of perimeters of two similar farm fields is 3:5. What is the ratio of their areas?
31) The ratio of perimeters of two similar farm fields is 4:7. What is the ratio of their areas?
32) The ratio of perimeters of two similar farm fields is 4:5. What is the ratio of their areas?
Transformations Review
Name_____________________________________
Date_______________
33) The local newspaper sells ads at a constant rate per square inch. A 3-inch x 4-inch ad costs $25.
Susan has a budget of $150 to run a 9-inch x 12-inch ad. Can she purchase a 9-inch x 12-inch ad
and stay within her budget?
Use area to determine the cost of the ad, simplify ratio of sides first then find ratio of area by squaring.
If $25 connects to the 1 the new price would be 9 times bigger to match the ratio of 1:9
34) The local newspaper sells ads at a constant rate per square inch. A 3-inch x 4-inch ad costs $25.
Susan has a budget of $150 to run a 6-inch x 8-inch ad. Can she purchase a 6-inch x 8-inch ad
and stay within her budget?
35) The local newspaper sells ads at a constant rate per square inch. A 2-inch x 4-inch ad costs $25.
Susan has a budget of $150 to run a 6-inch x 12-inch ad. Can she purchase a 6-inch x 12-inch ad
and stay within her budget?