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.
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When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 10
A dilation with center (0,0) and scale factor 0.5 maps the point (8, 6) to what point?
A point (7, -3) is reflected over the x-axis. What are the coordinates of its image?
A square is rotated 90° counterclockwise about the origin. What happens to the coordinates of the point (a, b)?
A translation moves a point (3, 5) to (7, 8). What is the translation vector?
A triangle has vertices at (1,1), (4,1), and (1,5). After a translation by (3, -2), what are the new coordinates of the first vertex?
Describe the effect of a translation by the vector (-2, 5) on the point (4, -1).
Describe the sequence of transformations that maps the point (2, 5) to (-2, -5).
If a point (x, y) is reflected over the line y = x, what are the coordinates of its image?
If a triangle is translated 5 units right and 2 units down, what is the translation vector?
If a triangle with vertices A(1,2), B(3,4), and C(5,2) is reflected over the y-axis, what are the coordinates of A'?
What is the center of dilation if the point (2, 3) is mapped to (6, 9) with a scale factor of 3?
A dilation with center at (2, -1) and scale factor 2 maps the point (4, 3) to what point?
A parallelogram has vertices at (0, 0), (4, 0), (5, 3), and (1, 3). After a translation by the vector (-2, 5), what are the new coordinates of the vertex (5, 3)?
A rectangle with vertices at (1, 2), (5, 2), (5, 6), and (1, 6) is reflected over the line y = x. What are the coordinates of the image of the vertex (1, 2)?
A triangle has vertices at A(2, 3), B(6, 3), and C(4, 7). After a rotation of 90° clockwise about the origin, what are the coordinates of vertex B'?
Describe how you would map the point (x, y) to (-y, x) using a single transformation.
Explain why the composition of two reflections over perpendicular lines results in a rotation. Specify the angle and center of rotation.
