For each pair of shapes, identify which shape has more lines of symmetry
Home / 5th grade / Shapes / Properties of 2-D shapes / Lines of symmetry
Lines of symmetry are imaginary lines that you can draw through a shape that divide the shape into two halves that are exact mirror images of each other. Different shapes have different numbers of lines of symmetry.
Square: A square has four sides of equal length and four right angles. It has four lines of symmetry - one vertical, one horizontal, and two diagonal lines. Each line of symmetry divides the square into two halves that are mirror images of each other.
Rectangle: A rectangle has two pairs of opposite sides of equal length and four right angles. It has two lines of symmetry - one vertical and one horizontal.
Triangle: The number of lines of symmetry a triangle has depends on the type of triangle it is. An equilateral triangle has three sides of equal length and three equal angles. It has three lines of symmetry - one vertical and two diagonal lines. An isosceles triangle has two sides of equal length and two equal angles. It has one line of symmetry - the line that goes through the midpoint of the base and bisects the opposite angle. A scalene triangle has no lines of symmetry.
Kite: A kite is a quadrilateral with two pairs of adjacent sides of equal length. It has one line of symmetry - the line that goes through the midpoint of the shorter diagonal and bisects the longer diagonal.
Pentagon: A regular pentagon has five sides of equal length and five equal angles. It has five lines of symmetry - one vertical, one horizontal, and three diagonal lines. Regular shapes with more sides like hexagon and octagon have the same number of lines of symmetry as they have sides. So a regular octagon has 8 and a regular nonagon has 9.
In this topic you are given diagrams of pairs of shapes and must decide which of the shapes has more lines of symmetry. The shapes include square, rectangle, kite, various types of triangle, parallelogram, pentagon, heptagon, etc.
Below is a table showing the first 6 question answer pairs for the topic "Lines of symmetry" as used in the lessons for this topic. Our games and tests for the topic use these 6 items plus 10 additional question answer pairs.
The topic "Lines of symmetry" is in the category Shapes for 5th grade (ages 10 to 11).
Home / 5th grade / Shapes / Properties of 2-D shapes / Lines of symmetry
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