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WorksheetsTransformations Assessment
Total questions: 31
Worksheet time: 1hrs 27mins
Patti is at a point P(2, 3) on a city map. She moves according to the following instructions: (x,y)→(x+2, y−4) and then she reflects her position over the y-axis. What is the ordered pair for Patti's final location?
P′(−4, 1) (Patti moved to the left 4 units and up 1 unit)
P′(−4, −1) (Patti moved to the left 4 units and down 1 unit)
P′(1, −4) (Patti moved to the right 1 unit and down 4 units)
P′(−1, −4) (Patti moved to the left 1 unit and down 4 units)
John moved from city ABCD to city A'B'C'D'. Identify the transformation he made.
Translation
Reflection across the y-axis
Reflection across the x-axis
90o counter clockwise Rotation
John has a picture of a triangle ABC on a piece of paper. He then transforms it to A'B'C'. Identify the transformation he used.
He rotated the paper 90o clockwise
He rotated the paper 90o counter clockwise
He reflected the picture across the y-axis of the paper
He reflected the picture across the x-axis of the paper
John is playing a video game where he controls a spaceship (triangle ABC) and needs to reach a destination (triangle A''B''C''). Under what composition of transformations should he move his spaceship to reach the destination?
First, he should reflect his spaceship over the x-axis, then rotate it by 90 Degrees
First, he should rotate his spaceship by -90 Degrees, then reflect it over the y-axis
First, he should reflect his spaceship over the y-axis, then rotate it by -90 Degrees
First, he should rotate his spaceship by 90 Degrees, then reflect it over the x-axis
Imagine you are a pilot flying a green plane and you need to navigate to the position of a blue plane. Determine the rule for the coordinates you need to move to.
(x+2, y-5)
(x+2, y-9)
(x-2, y-9)
(x-2, y+9)
Imagine you are playing a video game and your character X is currently at a certain position. If you move your character 3 steps to the left and 9 steps down, where would X' be located?
(-4, 4)
(-10, 2)
(-4, -5)
(-1, 5)
John is planning to enlarge a photo for a billboard. He is confused whether it's an enlargement or reduction and what the scale factor would be. Can you help him?
It's an enlargement; the scale factor is 1/2.
It's an enlargement; the scale factor is 2.
It's a reduction; the scale factor is 1/2.
It's a reduction; the scale factor is 2.
You are working on a blueprint for a new house. You need to either enlarge or reduce the blueprint. Find the scale factor!
It's a reduction; the scale factor is 2.
It's an enlargement; the scale factor is 2.
It's an enlargement; the scale factor is 1/2.
It's a reduction; the scale factor is 1/2.
A cartographer is working on a map of a region. He has a triangle ABC on his original map. He decides to dilate the map by a scale factor of 1/2. What will be the new coordinates of point C' on the dilated map?
(-1, -2.5)
(12, 6)
(3, -1.5)
(0, 1.5)
A photographer is using a camera that can zoom in by a scale factor of 3. If the original coordinates of objects A(3,3), B(6,6), and C(9,3) are given, what will be the coordinates of the objects in the image after zooming in?
A'(9,9) B'(18,18) C'(27,9)
A'(6,6) B'(9,9) C'(12,6)
A'(0,0) B'(3,3) C'(6,0)
A'(1,1) B'(2,2) C'(3,1)
John is a graphic designer and he is working on a project where he needs to enlarge an image by a scale factor of 3. How should he adjust the coordinates (x, y) of each pixel in the image?
(x, y) goes to (1/3x, 1/3y)
(x, y) goes to (-3x, -3y)
(x, y) goes to (x + 3, y + 3)
(x, y) goes to (3x, 3y)
John is at point A(-3, 5) on a coordinate plane. He moves 4 units down and then reflects his position across the y-axis. Where does John end up?
(3,1)
(3, -1)
(-1, 5)
(-1, 3)
John is moving his furniture. What sequence of transformations maps the position of his red couch to the position of his green couch?
A shift (translation) followed by a flip (reflection).
A turn (rotation) followed by a shift (translation).
A flip (reflection) followed by a shift (translation).
A flip (reflection) followed by a turn (rotation).
John had a pentagon-shaped keychain QRSTU. He performed a series of transformations on it to form its image Q"R"S"T"U". What transformations did he perform?
He moved it (translation), then flipped it over the y-axis (reflection).
He flipped it over the x-axis (reflection), then moved it (translation).
He turned it (rotation), then flipped it over the y-axis (reflection).
He flipped it over the y-axis (reflection), then moved it (translation).
Imagine you are playing a video game where you control a spaceship (shape F). You encounter a wormhole that transforms your spaceship into a different shape (shape F''). Which sequence of transformations does the wormhole apply to your spaceship?
The wormhole reflects your spaceship over both axes
The wormhole first reflects your spaceship, then rotates it
The wormhole first translates your spaceship, then reflects it
The wormhole first rotates your spaceship, then translates it
John is looking at a mirror. What type of transformation is he experiencing when his image is “flipped” over the line of symmetry in the mirror?
rotation
translation
dilation
reflection
A spaceship is in space. Describe the transformation it would need to undergo to reach its destination.
The spaceship needs to move 3 light years to the right and 2 light years down
The spaceship needs to reflect across the interstellar line y=-x
The spaceship needs to rotate 180 degrees about its origin
The spaceship needs to rotate 90 degrees clockwise about its origin
John is standing at point A on a coordinate plane. If he rotates 180o clockwise about the origin, what will be the coordinates of his new position A'?
(-5, -4)
(4, -5)
(-4, 5)
(-4, -5)
Identify the transformation.
Reflection across y-axis
90 Rotation counter clockwise
Translation 5 units left, 1 unit up.
Translation 5 units right, 1 unit down
Identify the transformation.
Translation
Reflection
Dilation
John is looking at four different pictures of a landscape. Which picture shows the landscape as if it was reflected in a mirror?
Picture A
Picture B
Picture C
Picture D
John is playing a video game where his character can move in different ways. These movements include translations, rotations, and reflections. These are three different types of what?
Transformations
Geometry
Vectors
Shapes
Consider a pentagon-shaped park named 'T' on a city map grid. The city planning department decides to rotate the park 90 degrees clockwise about the origin for a new city design. Can you find the new coordinates of park 'T' after this transformation?
(3, 2)
(2, 3)
(-2, -3)
(-3, -2)
Which of the following transformations of square ABCD shows that square EFGH is congruent to square ABCD?
a translation two units up and two units to the left
a translation four units up and four units to the left
translation two units down and two units to the right
a translation four units down, and four units to the right
