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WorksheetsCompose Transformations
Total questions: 15
Worksheet time: 15mins
What would the coordinates be for Q(4,1) after a translation 3 units left and 4 units down, then a reflection over the x-axis?
(1, -3)
(-1, -3)
(1, 3)
(-1, 3)
The image shows what type of transformation
Rotation
Translation
Reflection
Will the following transformations result in a congruent or similar figure?
1. Rotation 90 degrees, clockwise, center at point C
2. Dilation with scale factor of 1/2, center at (-1, -2)
Congruent
Similar
What is this picture an example of?
An angle
A cat vertex
Rotation
Is the picture being reflected in the y-axis or x-axis?
y-axis
x-axis
Which of the following is the description of the rigid motions which map ΔEFG to ΔMNO?
A translation 4 units to the left and 5 units down, followed by a reflection across the y-axis
A translation 4 units to the left and 5 units down, followed by a reflection across the x-axis
A translation 5 units to the left and 4 units down, followed by a reflection across the y-axis
A translation 5 units to the left and 4 units down, followed by a reflection across the x-axis
Describe a sequence of transformations that maps quadrilateral ABCD to quadrilateral A′B′C′D'.
A rotation of 180° about the origin followed by a translation 3 units left and 7 units up.
A reflection across the line x = -2 and a translation 2 units left.
A rotation of 180° about the origin followed by a translation 2 units right and 7 units up.
A translation 5 units left and 1 unit down
Describe a sequence of transformations that maps ΔXYZ to ΔX′Y′Z′.
A reflection across the x-axis followed by a translation 8 units left and 1 unit up
A reflection across the y-axis followed by a translation 3 units right and 6 units down
A translation 7 units left and 6 units down
A 90° rotation followed by a translation 3 units left and 6 units down
Describe a sequence of transformations that maps figure A onto figure B.
translation 4 units right followed by a reflection across the x-axis
reflection across the x-axis followed by a reflection across the y-axis
reflection across the y-axis followed by a translation 6 units down
90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis
What is the angle of rotation about the origin that maps ΔPQR to ΔP'Q'R'?
90o
-90o
180o
270o
Describe a sequence of transformations that maps ΔDEF to ΔD′E′F′.
A reflection across the x-axis followed by a translation 4 units left and 5 units up
A reflection across the y-axis followed by a translation 1 unit left and 1 unit down
A 90° rotation followed by a translation 1 unit left and 1 unit down
A translation 5 units left and 1 unit down
Describe a sequence of transformations that maps quadrilateral ABCD to quadrilateral A′B′C′D'.
A rotation of 180° about the origin followed by a translation 3 units left and 7 units up.
A reflection across the line x = -2 and a translation 2 units left.
A rotation of 180° about the origin followed by a translation 2 units right and 7 units up.
A translation 5 units left and 1 unit down
What sequence of transformations maps ΔQRS to ΔABC?
A reflection across the x-axis, followed by a rotation of 90° about the origin, and then a translation 3 units down
A reflection across the x-axis, followed by a rotation of 90° about the origin, and then a translation 3 units right
A rotation of 90° about the origin, followed by a translation 3 units right, and then a reflection across the y-axis
A rotation of 90° about the origin, followed by a translation 3 units left, and then a reflection across the y-axis
Is ΔX'Y'Z' a rotation of ΔXYZ? Explain.
No. While the size, shape, and orientation are the same, the transformation used was a translation.
Yes. The size, shape, and orientation are the same. Rays connecting the origin with corresponding points show an angle of rotation of 90° counterclockwise about the origin.
No. While the size, shape, and orientation are the same, the transformation used was a reflection.
No. The size, shape, and orientation of each triangle are not all the same.
Quadrilateral WXYZ is translated to quadrilateral W′X′Y′Z′. Write a rule that describes the translation.
(x,y)→(x−10,y+8)
(x,y)→(x+10,y−8)
(x,y)→(x−8,y+10)
(x,y)→(x+8,y−10)
