Transformations

Math ⇒ Geometry

Transformations starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Transformations. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 11

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 translation moves a point (3, -2) by the vector (4, 5). What are the coordinates of the image?

A triangle has vertices at (1,2), (3,4), and (5,0). After a rotation of 180° 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 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.

Explain why the composition of two reflections over intersecting lines is a rotation.

If a dilation has a scale factor of 1, what is the effect on the figure?

If a point (x, y) is reflected over the y-axis, what are the coordinates of its image?

If a triangle is reflected over the x-axis and then translated by (0, 5), what is the image of the point (2, -4)?

What is the image of the point (2, -3) after a translation by the vector (-5, 4)?

A dilation centered at (1,2) with scale factor 3 is applied to the point (4,6). What are the coordinates of the image?

A figure is mapped onto itself after a rotation of 120° about its center. What is the minimum order of rotational symmetry for this figure?

A parallelogram has vertices at (2,1), (6,1), (7,4), and (3,4). After a rotation of 90° counterclockwise about the origin, what are the coordinates of the image?

A triangle with vertices at (0,0), (2,0), and (1,3) is reflected over the line y = -x. What are the coordinates of the image?

Describe a sequence of transformations that maps the point (a, b) to (-b, -a).

Explain why a dilation with a negative scale factor results in an image that is both resized and rotated 180° about the center of dilation.