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 12

A dilation with center at the origin and scale factor k maps the point (4, -2) to (12, -6). What is the value of k?

A point (3, -4) is rotated 180° about the origin. What are the coordinates of the image?

A triangle has vertices at (0,0), (2,0), and (1,3). After a dilation with center at (0,0) and scale factor 0.5, what are the new coordinates?

A triangle with vertices at (1,2), (3,4), and (5,2) is reflected over the y-axis. What are the coordinates of the image?

Describe the effect of the transformation y = -f(x) on the graph of y = f(x).

Describe the sequence of transformations that maps the graph of y = f(x) to y = f(x-3) + 2.

Explain why a dilation with a negative scale factor results in a figure that is both resized and reflected.

Given the matrix [[2,0],[0,2]], what type of transformation does it represent?

Given the transformation matrix for a rotation by θ degrees about the origin, what are the entries of the matrix?

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

If a point (x, y) is rotated 90° counterclockwise about the origin, what are the coordinates of the image?

If a square is reflected over the line y = x, what happens to the coordinates (a, b) of its vertices?

If a transformation maps every point (x, y) to (x + 2, y - 5), what type of transformation is this?

Which of the following transformations preserves both the size and the shape of a geometric figure? (1) Translation (2) Dilation (3) Reflection (4) Rotation