WorksheetsUnit 3 Transformations Extra Credit
Total questions: 60
Worksheet time: 6hrs 42mins
A flip is also called ___________.
Translation
Reflection
Rotation
Transformation
Identify this transformation.
Dilation
Rotation
Translation
Reflection
Is the picture being reflected across the y-axis or the x-axis?
y-axis
x-axis
Describe the Transformation
Dilation
Reflection
Translation
Rotation
What is this picture an example of?
Reflection
Translation
Rotation
Dilation
Reflect across the x-axis and then reflect across the y-axis.
Translate up and then rotate 90 degrees about the origin.
What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?
a reflection followed by a translation
a translation followed by a rotation
Identify the sequences of transformations from the green image to the red image to the blue image.
translation then rotation
translation then reflection
rotation then reflection
Identify the sequences of transformations from the red image to the blue image to the green image.
translation then translation
rotation then rotation
reflection then translation
Reflect over the y-axis then reflect over the x-axis
Reflect over the x-axis then reflect over the y-axis
Rotate 90˚ counter-clockwise about the origin then reflect over the x
What type of transformation is shown?
Translation
Reflection
Rotation
Choose the correct transformations
right 1, down 4, and then reflection over the y-axis
right 6, and then reflection over the x-axis
Choose the correct transformations
rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis
right 1, down 4, and then reflection over the y-axis
right 6, and then reflection over the x-axis
reflection over the line y=x, and then translate up 4, right 2
What is a reflection?
When you turn an object around a point.
When you slide an object form one place to another.
When you flip or mirror an object across a line.
When you resize an object.
What axis is the triangle being reflected over?
X-axis
Y-axis
What axis is the image reflected over?
X-axis
Y-axis
Reflections over the x-axis change the ____-__________.
y-coordinate
x-coordinate
What would be the coordinates of point K if it was reflected over the x-axis?
(-5, -2)
(-5, 2)
(5, -2)
Which answer shows a reflection across the x-axis?
a
b
c
d
Identify the transformation from ABC to A'B'C'.
90o clockwise rotation
90o counter clockwise rotation
Reflection across the y-axis
Reflection across the x-axis
Which correctly describes the two transformations that were used to create the image on the graph?
Reflection over the y-axis and a rotation 90o counter clockwise
(x+10, y) and reflection over x-axis
Rotation 90o clockwise and a reflection over the x-axis
Reflection over the x-axis ad a translation (x+6,y)
Which series of transformations were performed in the figure?
Translation 5 units down, reflection over the y-axis
Reflection over the x-axis, translation 6 units right
Rotation 90o clockwise, reflection over the x-axis
Rotation 180o clockwise, reflection over the y-axis
Describe a sequence of transformations that maps figure A onto figure B.
A translation 4 units right followed by a reflection across the x-axis
A reflection across the x-axis followed by a reflection across the y-axis
A reflection across the y-axis followed by a translation 6 units down
A 90° counterclockwise rotation about the Origin followed by a reflection across the y-axis
What does a translation do to an image?
Turns it 90* clockwise
Mirrors it
Shrinks it
Slides it
Translate the blue shape to the green shape...
3 Left
3 Down
3 Right
3 Up
2 Right
3 Up
2 Left
3 Down
Translate the blue shape to the green shape...
5 Right
2 Up
5 Left
2 Down
5 Right
5 Up
5 Left
5 Down
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
Translated 5 units down and 5 units to the right
Translated 5 units down and 1 to the right
Translated 8 units down and 5 units to the right
Translated 5 units down and 4 units to the right
Determine where T' would be if you translated T 3 units to the right and 6 units up.
(5, 1)
(2, -5)
(-1, 1)
(8, -2)
Where would point J' be if you translated point J 5 units to the left and 2 units up?
(5, 3)
(3, -5)
(-5, 3)
(-3, 5)
How do you represent a translation Algebraically?
(-y, -x)
(x + a, y + b)
(-x , -y)
(ax, by)
What does this transformation say to do?
(x, y) -----> (x, y +4)
Translate down 4
Translate up 4
Translate right 4
Translate left 4
What transformation is happening?
(x, y) ----> (x + 2, y - 3)
Translate up 2, left 3
Translate right 2, up 3
Translate right 2, down 3
Translate left 3, right 2
What coordinate notation rule describes the translation? (From pre-image to image)
(x - 6, y + 2)
(x - 2, y + 6)
(x + 2, y - 6)
(x + 6, y - 2)
A triangle has vertices at A(2, 3), B(4, 5), and C(6, 1). If the triangle is dilated by a scale factor of 2, what are the coordinates of the new triangle A', B', and C'?
A'(5, 8), B'(10, 12), C'(14, 4)
A'(3, 5), B'(6, 7), C'(9, 3)
A'(4, 6), B'(8, 10), C'(12, 2)
A'(2, 3), B'(4, 5), C'(6, 1)
What is the scale factor shown in the dilation shown?
5
1/5
10
What is the scale factor?
k = 2
k = 1/2
k = 4
k = 1/4
What is the definition of dilation in geometry?
A transformation that preserves angles and changes the size of a figure.
A transformation that changes the shape and size of a figure.
A transformation that only changes the position of a figure.
A transformation that reflects a figure over a line.
If a triangle with vertices at (1,2) , (3,4) , and (5,6) is dilated by a scale factor of 2, what are the new coordinates of the vertices?
(2,4) , (6,8) , (10,12)
(0.5,1) , (1.5,2) , (2.5,3)
(3,6) , (9,12) , (15,18)
(1,2) , (3,4) , (5,6)
Which of the following transformations is a dilation?
Rotating a figure 90 degrees.
Translating a figure 5 units to the right.
Enlarging a figure by a scale factor of 1.5.
Reflecting a figure over the x-axis.
If a dilation has a scale factor of 1, what can be said about the original and dilated figures?
The dilated figure is smaller than the original.
The dilated figure is larger than the original.
The dilated figure is congruent to the original.
The dilated figure is a reflection of the original.
A triangle with vertices at (0,0) , (4,0) , and (0,3) is dilated by a scale factor of 2. What are the new coordinates of the vertices?
(0,0) , (8,0) , (0,6)
(0,0) , (2,0) , (0,1.5)
(0,0) , (4,0) , (0,3)
(0,0) , (6,0) , (0,9)
What happens to the angles of a figure when it is dilated?
The angles become larger.
The angles become smaller.
The angles remain the same.
The angles are doubled.
If a dilation has a scale factor greater than 1, what can be said about the dilated figure?
The dilated figure is smaller than the original.
The dilated figure is larger than the original.
The dilated figure is the same size as the original.
The dilated figure is a reflection of the original.
If a dilation has a scale factor less than 1, what can be said about the dilated figure?
The dilated figure is smaller than the original.
The dilated figure is larger than the original.
The dilated figure is the same size as the original.
The dilated figure is a reflection of the original.
