Transformations
Math ⇒ Geometry
Transformations starts at 8 and continues till grade 12.
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See sample questions for grade 9
Describe a real-life example of a translation.
Describe what happens to a figure under a translation.
If a figure is reflected twice over parallel lines, what is the resulting transformation equivalent to?
If a figure is rotated 90 degrees counterclockwise about the origin, what happens to the coordinates (x, y)?
If a triangle is reflected over the y-axis, what happens to the x-coordinates of its vertices?
A rectangle is translated 3 units right and 2 units up. What is the translation vector?
A square has vertices at (0,0), (0,2), (2,2), and (2,0). After a rotation of 90 degrees counterclockwise about the origin, what are the new coordinates?
A triangle has vertices at (1,2), (3,4), and (5,2). After a reflection over the y-axis, what are the coordinates of the image?
If a point (4, -5) is dilated from the origin by a scale factor of 2, what are the coordinates of the image?
Which of the following is a property of all rigid transformations?
(1) They preserve angle measures
(2) They change the size of the figure
(3) They preserve distances between points
(4) Both (1) and (3)
Which of the following is NOT a type of transformation in geometry?
(1) Translation
(2) Rotation
(3) Reflection
(4) Division
Which of the following is NOT preserved under a dilation?
(1) Angle measure
(2) Distance between points
(3) Orientation
(4) Shape
Which of the following transformations changes the orientation of a figure?
(1) Translation
(2) Reflection
(3) Rotation
(4) Dilation
A dilation with a scale factor greater than 1 will ________ the size of a figure.
A dilation with a scale factor of 0.5 will ________ the size of a figure.
A translation moves every point of a shape the same distance in the same ________.
True or False: A dilation with a scale factor of 1 leaves a figure unchanged.
True or False: A glide reflection is a rigid transformation.
True or False: A reflection always preserves the size and shape of a figure.
True or False: A reflection over the x-axis changes the y-coordinates of points to their opposites.
