Transformations
Math ⇒ Geometry
Transformations starts at 8 and continues till grade 12.
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See sample questions for grade 11
Describe the effect of a dilation with scale factor k > 1 on a triangle.
Describe the sequence of transformations that maps the point (1,2) to (-2,1).
Describe the sequence of transformations that maps the point (2,3) to (3,-2).
Explain the difference between a rigid transformation and a non-rigid transformation.
A rectangle has vertices at (0,0), (0,3), (5,3), and (5,0). After a reflection over the x-axis, what are the coordinates of the image?
A square with vertices at (0,0), (0,2), (2,2), and (2,0) is dilated by a scale factor of 0.5 about the origin. What are the coordinates of the image?
A triangle with vertices at (1,1), (4,1), and (1,5) is reflected over the line y = x. What are the coordinates of the image?
Describe the sequence of transformations that maps the point (1,2) to (-2,1).
Which of the following is not a rigid transformation? (1) Translation (2) Reflection (3) Dilation (4) Rotation
Which of the following is not an isometry? (1) Translation (2) Dilation (3) Reflection (4) Rotation
Which of the following is true about the composition of two rotations about the same point? (1) It is always a rotation (2) It is always a reflection (3) It is always a translation (4) It is always a dilation
Which of the following transformations changes the size but not the shape of a figure? (1) Translation (2) Dilation (3) Reflection (4) Rotation
Fill in the blank: A transformation that preserves the shape but not necessarily the size of a figure is called a ______ transformation.
Fill in the blank: The center of rotation is the point that ______ during a rotation transformation.
Fill in the blank: The fixed point in a dilation is called the ______ of dilation.
Fill in the blank: The image of a point (x, y) after a rotation of 90° clockwise about the origin is (______, ______).
True or False: A reflection always preserves the orientation of a figure.
True or False: A translation can be described as a composition of two reflections over parallel lines.
True or False: All isometries are rigid transformations.
True or False: The composition of a rotation and a reflection is always a rotation.
