Symmetry
Math ⇒ Geometry
Symmetry starts at 6 and continues till grade 12.
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See sample questions for grade 11
A rectangle (not a square) has how many lines of symmetry?
A regular polygon has 15 lines of symmetry. How many sides does it have?
Describe the symmetry of a circle.
Explain the concept of point symmetry with an example.
Explain why the graph of y = x4 is symmetric about the y-axis.
If a function f(x) satisfies f(-x) = -f(x), what type of symmetry does its graph have?
If a regular octagon is rotated by 45 degrees about its center, will it coincide with itself?
True or False: The function y = cos(x) is an even function and its graph is symmetric about the y-axis.
If a figure has only one line of symmetry, which of the following could it be?
(1) Equilateral triangle
(2) Isosceles triangle
(3) Rectangle
(4) Square
Which of the following functions is symmetric about the origin?
(1) y = x3
(2) y = x2
(3) y = |x|
(4) y = ex
Which of the following letters of the English alphabet have both vertical and horizontal line symmetry?
(1) H
(2) A
(3) O
(4) X
Which of the following shapes does NOT have any line of symmetry?
(1) Scalene triangle
(2) Square
(3) Circle
(4) Rectangle
A figure is said to have line symmetry if it can be divided into two identical halves by a ________.
A regular pentagon has rotational symmetry of order ________.
A regular polygon with n sides has rotational symmetry of order ________.
Fill in the blank: The number of lines of symmetry in a regular n-gon is ________.
If a regular octagon is rotated by 45 degrees about its center, will it coincide with itself?
True or False: Every regular polygon has as many lines of symmetry as it has sides.
True or False: The function y = cos(x) is an even function and its graph is symmetric about the y-axis.
True or False: The function y = sin(x) is symmetric about the origin.
