WorksheetsTransformations Review
Total questions: 59
Worksheet time: 1hrs 23mins
Name
Class
Date
1.
A point is translated 3 units left and 4 units up. What is the correct translation rule?
a)
T(x,y)→(x+3,y+4)
b)
T(x,y)→(x-3,y-4)
c)
T(x,y)→(x+3,y-4)
d)
T(x,y)→(x-3,y+4)
2.
a)
T(x,y)→(x+1,y-7)
b)
Horizontally 1 unit and vertically -7 units
c)
Left 1 Up 7
d)
T(x,y)→(x+1,y+7)
3.
If a point is at (-10,6), and it gets translated horizontally -6 units and vertically 5 units, where is it's new location?
a)
(-5,0)
b)
(-16,1)
c)
(-15,0)
d)
(-16,11)
4.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
5.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
1 right, 6 down
c)
3 left, 6 down
d)
, 8 down,1 right
6.
Congruent geometric figures have the:
a)
Same size
b)
Sides Equal
c)
Same Size and Same Shape
d)
Angles Equal
7.
The point that is to be transformed is called the:
a)
Pre-Image
b)
Image
c)
Post-Image
d)
Triangle
8.
What is a translation?
a)
When you turn an object around a point.
b)
When you slide an object from one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
9.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
10.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
11.
Find E'.
a)
(-1, -5)
b)
(-2, -2)
c)
(0, -4)
d)
(-4, 0)
12.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
13.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
14.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
15.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
16.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
17.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis
18.
This pictures shows what?
a)
reflection over the x-axis
b)
reflection over the x-coordinate
c)
reflection over the y-coordinate
d)
reflection over the y-axis
19.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
20.
Find K' if the figure is reflected across the x-axis
a)
(4, 1)
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
21.
Where will A' be at, if triangle ABC is reflected by
(x,y) --> (-x,y)?
(x,y) --> (-x,y)?
a)
(2,1)
b)
(1,-2)
c)
(-1,2)
22.
Reflect the rectangle
(-1,2), (-1,5), (3,2), (3,5)
about the x axis
(-1,2), (-1,5), (3,2), (3,5)
about the x axis
a)
(1,2), (1,5), (-3,2), (-3,5)
b)
(-1,-2), (-1,-5), (3,-2), (3,-5)
c)
(1,-2), (1,-5), (-3,-2), (-3,-5)
d)
(1,2), (1,5), (3,2), (3,5)
23.
Consider the triangle
(-1,2), (-1,6), (-3,2)
Reflect in the y axis and translate down 5 units
(-1,2), (-1,6), (-3,2)
Reflect in the y axis and translate down 5 units
a)
(1,-3), (1,1), (3,-3)
b)
(1,2), (1,6), (3,2)
c)
(-1,-2), (-1,-6), (-3,-2)
d)
(-1,2), (-1, 6), (-3,2)
24.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
25.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
26.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
90 degrees clockwise
27.
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
28.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
29.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
30.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
31.
What type of rotation does this represent (from red to blue)?
a)
270⁰ clockwise
b)
360⁰
c)
90⁰ counterclockwise
d)
180⁰
32.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
270 counterclockwise
d)
90 degrees clockwise
33.
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.
a)
(2,4.5)
b)
(-8,-18)
c)
(8,18)
d)
(9,4)
34.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
35.
Determine where X'' would be if you:
*translated X 3 units to the left and 9 units down
*reflected the new figure over the y axis.
*translated X 3 units to the left and 9 units down
*reflected the new figure over the y axis.
a)
(-5, -4)
b)
(-4, 5)
c)
(4, -5)
d)
(5, 4)
36.
Quadrilateral QRST is rotated 180° about the origin, resulting in quadrilateral Q'R'S'T' as seen in the figure.
Which series of transformations would have the same result as the above transformation
Which series of transformations would have the same result as the above transformation
a)
A reflection across the x-axis and then a reflection across the y-axis
b)
A translation 8 units to the left and then a reflection across the y-axis
c)
a 90° clockwise rotation about the origin and then a reflection across the x-axis
d)
A translation 8 units to the right and then a 90° clockwise rotation about the origin.
37.
A(-5, -1) L(-3, -2) T(-3, 2)
Rotate triangle ALT 180° clockwise about the origin, then reflect over the line x=1.
Rotate triangle ALT 180° clockwise about the origin, then reflect over the line x=1.
a)
A'' (5, 1) L''(3, 2) T''(3, -2)
b)
A'' (3, 1) L''(1, 2) T''(1, -2)
c)
A'' (5, -1)
L''(3, -2)
T''(3, 2)
L''(3, -2)
T''(3, 2)
d)
A'' (-3, 1)
L''(-1, 2)
T''(-1,-2)
L''(-1, 2)
T''(-1,-2)
38.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
39.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
40.
Does the image show a Dilation?
a)
Yes
b)
No
41.
What is the scale factor if the triangle on the left is the original?
a)
2
b)
3/2
c)
2/3
d)
1/2
42.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
43.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
44.
A dilation is given by the transformation (x, y) → (2.5x, 2.5y). What is the scale factor?
a)
2.5
b)
1/2.5
c)
This is not a dilation
d)
The scale factor cannot be determined
45.
What is the scale factor of the dilation from the inner to outer triangle?
a)
2
b)
1/2
c)
4
d)
1/4
46.
What is the scale factor from the inner pentagon to the outer pentagon?
a)
2
b)
1/2
c)
3
d)
1/3
47.
The pair of polygons at the right are congruent. What is the m<J?
a)
45
b)
90
c)
135
d)
145
48.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
49.
EFGH∼MATB
Which angles corresponds to ∠F
Which angles corresponds to ∠F
a)
∠M
b)
∠T
c)
∠B
d)
∠A
50.
EFGH∼MATB
Which angles corresponds to ∠H
Which angles corresponds to ∠H
a)
∠M
b)
∠T
c)
∠B
d)
∠A
51.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
52.
∠A = ≅
a)
∠M
b)
∠N
c)
∠L
53.
∆ISR ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
54.
Line CB corresponds to...
a)
EF
b)
HE
c)
GF
d)
HG
55.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
56.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
57.
Use the congruency statement to answer the following:
<F = ___
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
58.
∆ABC≅∆XYZ
which is true?
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
59.
∆JIK ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
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