WorksheetsTransformations: ALL Together
Total questions: 30
Worksheet time: 39mins
Name
Class
Date
1.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
(x + 5, y - 5) 5 units down and 5 units to the right
b)
(x + 1, y - 5) 5 units down and 1 to the right
c)
(x + 5, y - 8) 8 units down and 5 units to the right
d)
(x + 4, y - 5) 5 units down and 4 units to the right
2.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
3.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
4.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis
5.
Reflecting over the y-axis changes the ____-_____________.
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
6.
Which algebraic rule shows how triangle ABC being translated to triangle A'B'C'?
a)
(x, y) --> (x - 3, y + 8)
b)
(x, y) --> (x + 3, y - 8)
c)
(x, y) --> (x - 4, y + 9)
d)
(x, y) --> (x + 4, y - 9)
7.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
270 counterclockwise
8.
Triangle ABC is labeled with points A(5, 2), B(1, 2) and C(3, 6) on a coordinate plane. Find the coordinates of A' B' C' after a reflection over the x-axis.
a)
A’(5, -2) B' (1, -2) C' (3, -6)
b)
A’(-5, -2) B' (-1, -2) C' (-3, -6)
c)
A’(-5, -2) B' (-2, -1) C' (-6, -3)
9.
A transformation that “turns” a figure about a fixed point at a given angle and a given direction.
a)
reflection
b)
translation
c)
rotation
d)
dilation
10.
A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.
a)
rotation
b)
translation
c)
dilation
d)
reflection
11.
A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this?
a)
dilation
b)
translation
c)
rotation
d)
reflection
12.
When you translate
(x , y + 6) the figure will move _____.
(x , y + 6) the figure will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
13.
When you translate,
(x - 4, y) the figure will move _____.
(x - 4, y) the figure will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
14.
Going from (x,y) to (-x,-y) will result in a counter-clockwise rotation of _____ degrees.
a)
90
b)
180
c)
270
d)
360
15.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
16.
Identify the transformation from ABC to A'B'C'. (scale on graph is 1)
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
17.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
18.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
270o Counter Clockwise Rotation
270o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
90o Counter Clockwise Rotation
90o Counter Clockwise Rotation
d)
360o Rotation
19.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
20.
Identify the transformation from B to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o clockwise Rotation
d)
360o Rotation
21.
Identify the transformation from C to C.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
22.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
23.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence no, Orientation no
c)
Congruence yes, Orientation no
d)
Congruence no, Orientation yes
24.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation no
b)
Congruence no, Orientation no
c)
Congruence no, Orientation yes
d)
Congruence yes, Orientation yes
25.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
right 2, down 5
b)
right 2, down 9
c)
left 2, up 9
d)
left 2, down 9
26.
What is the rule for the following reflection?
a)
Reflection across the x-axis (x, -y)
b)
Reflection across the y-axis (-x, y)
27.
If point A (9, -4) was rotated 180 degrees, what would be the new location of point A'?
a)
(-9, -4)
b)
(-9, 4)
c)
(9, 4)
d)
(9, -4)
28.
If point B (-1, 4) was translated 7 units right and 2 units up, what would be the new location of point B'?
a)
(-8, 6)
b)
(-8, 2)
c)
(6, 2)
d)
(6, 6)
29.
If Point C (5, -8) was reflected over the x-axis, what would be the new location of Point C'?
a)
(8, -5)
b)
(5, 8)
c)
(-5, 8)
d)
(-8, 5)
30.
If Point C (5, -8) was reflected over the y-axis, what would be the new location of Point C'?
a)
(-8, 5)
b)
(5, 8)
c)
(-5, -8)
d)
(8, 5)
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