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
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.
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 parallelogram is mapped onto itself by a rotation of 180° about its center. Does this mean all parallelograms have rotational symmetry?
A point (3, -4) is rotated 180° about the origin. What are the coordinates of the image?
A rectangle is mapped onto itself after a rotation of 180° about its center. Is this an example of rotational symmetry?
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 is mapped onto a congruent triangle by a transformation. Which of the following could NOT be the transformation?
(1) Translation
(2) Dilation with scale factor 2
(3) Rotation
(4) Reflection
Which of the following best describes a glide reflection?
(1) A translation followed by a reflection
(2) A rotation followed by a translation
(3) A reflection followed by a rotation
(4) A dilation followed by a translation
Which of the following is NOT a rigid transformation?
(1) Translation
(2) Rotation
(3) Reflection
(4) Dilation
Which of the following is true for all isometries?
(1) They preserve distance
(2) They preserve angle measure
(3) They preserve area
(4) All of the above
A transformation that changes the size of a figure but not its shape is called a ________.
Fill in the blank: The set of all rigid motions in the plane forms a mathematical structure called a ________.
If a figure is mapped onto itself by a transformation other than the identity, the figure has ________ symmetry.
The image of point (2,5) after a translation by the vector (-3,4) is ________.
A parallelogram is mapped onto itself by a rotation of 180° about its center. Does this mean all parallelograms have rotational symmetry?
A rectangle is mapped onto itself after a rotation of 180° about its center. Is this an example of rotational symmetry?
True or False: Every rotation is an isometry.
True or False: The composition of a reflection and a translation is always a glide reflection.
