Symmetry
Math ⇒ Geometry
Symmetry starts at 6 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Symmetry.
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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 12
A context: A logo is designed in the shape of a regular octagon. The designer wants to add a line of symmetry. How many different lines of symmetry can be drawn through the center of the logo?
A function f(x) is said to be even if f(-x) = f(x) for all x in its domain. Is the function f(x) = cos(x) even, odd, or neither?
A regular hexagon has how many lines of symmetry?
A regular pentagon is rotated about its center. What is the smallest angle of rotation that maps the pentagon onto itself?
A regular polygon has 15 sides. What is the smallest angle of rotation that maps it onto itself?
Describe the difference between reflectional symmetry and rotational symmetry.
Describe the symmetry of the graph of y = sin(x).
A context: A logo is designed in the shape of a regular octagon. The designer wants to add a line of symmetry. How many different lines of symmetry can be drawn through the center of the logo?
Which of the following functions is symmetric with respect to the origin? (1) y = x³ (2) y = x² (3) y = |x| (4) y = eˣ
Which of the following graphs is symmetric with respect to the y-axis? (1) y = x³ (2) y = x² (3) y = x (4) y = √x
Which of the following quadrilaterals has exactly one line of symmetry? (1) Square (2) Rectangle (3) Kite (4) Rhombus
Which of the following shapes has both line and rotational symmetry? (1) Rectangle (not square) (2) Equilateral triangle (3) Scalene triangle (4) Trapezium
Fill in the blank: The graph of y = -f(x) is a reflection of the graph of y = f(x) over the ______ axis.
Fill in the blank: The number of times a figure maps onto itself during a 360° rotation is called the ______ of rotational symmetry.
Fill in the blank: The order of rotational symmetry of a regular n-gon is ______.
Fill in the blank: The point about which a figure is rotated to map onto itself is called the ______ of rotation.
True or False: All regular polygons have as many lines of symmetry as they have sides.
True or False: Every parallelogram has rotational symmetry of order 2.
True or False: The graph of y = x² is symmetric with respect to the y-axis.
True or False: The letter 'H' has both line and rotational symmetry.
