The line of symmetry can be defined as the axis or imaginary line that passes through the centre of the shape or object and divides it into two identical halves.
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The lines and divides the square into two identical halves.
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Therefore, a square has lines of symmetry.
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The order of rotational symmetry for a regular polygon is equal to the number of sides of the polygon.
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Number of sides in a square
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Therefore, order of rotational symmetry of a square is .
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A rectangle:
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The lines and divides the rectangle two identical halves.
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Therefore, a rectangle has lines of symmetry.
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The order of rotational symmetry is the number of times the figure coincides with itself as its rotates through .
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Look at the figure below:
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Number of times the rectangle coincides with itself as its rotates through
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Therefore, order of rotational symmetry of a rectangle is .
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A rhombus:
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The lines and divides the rhombus two identical halves.
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Therefore, a rhombus has lines of symmetry.
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Look at the figure below:
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Number of times the rhombus coincides with itself as its rotates through
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Therefore, order of rotational symmetry of a rhombus is .
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A parallelogram:
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A parallelogram has no line of symmetry.
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Look at the figure below:
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Number of times the parallelogram coincides with itself as its rotates through
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Therefore, order of rotational symmetry of a parallelogram is .
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A kite:
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The line divides the kite two identical halves.
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Therefore, a kite has lines of symmetry.
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Look at the figure below:
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Number of times the kite coincides with itself as its rotates through
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Therefore, order of rotational symmetry of a kite is .
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A trapezium:
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A trapezium has no line of symmetry because the nonparallel sides of a trapezium are not equal.
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Look at the figure below:
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Number of times the trapezium coincides with itself as its rotates through
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Therefore, order of rotational symmetry of a trapezium is .
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An isosceles trapezium:
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The line divides the isosceles trapezium two identical halves.
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Therefore, an isosceles trapezium has lines of symmetry.
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Look at the figure below:
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Number of times the isosceles trapezium coincides with itself as its rotates through
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Therefore, order of rotational symmetry of an isosceles trapezium is .
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Shape
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square
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rectangle
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rhombus
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parallelogram
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kite
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trapezium
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Isosceles trapezium
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Number of lines of symmetry
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Order of rotational symmetry
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The order of rotational symmetry is the number of times the figure coincides with itself as its rotates through .
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The line of symmetry can be defined as the axis or imaginary line that passes through the centre of the shape or object and divides it into identical halves.
Complete the table to show the symmetry properties of these quadrilateral.
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Shape
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square
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rectangle
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rhombus
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parallelogram
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kite
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trapezium
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Isosceles trapezium
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Number of lines of symmetry
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Order of rotational symmetry
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Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Shapes and Symmetry, Exercise 2: Exercise 8.1
Author:Lynn Byrd, Greg Byrd & Chris Pearce
Lynn Byrd Mathematics Solutions for Exercise - Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Shapes and Symmetry, Exercise 2: Exercise 8.1
Attempt the practice questions on Chapter 8: Shapes and Symmetry, Exercise 2: Exercise 8.1 with hints and solutions to strengthen your understanding. Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access solutions are prepared by Experienced Embibe Experts.
Questions from Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Shapes and Symmetry, Exercise 2: Exercise 8.1 with Hints & Solutions
Add one blue square to the pattern to make a new pattern that has a line of symmetry. Draw the line of symmetry of the new pattern. Describe the line of symmetry; that is, the line is a vertical, horizontal or diagonal line of symmetry.
Add one blue square to the pattern to make a new pattern that has a line of symmetry. Draw the line of symmetry of the new pattern. Describe the line of symmetry; that is, the line is a vertical, horizontal or diagonal line of symmetry.
Add one blue square to the pattern to make a new pattern that has a line of symmetry. Draw the line of symmetry of the new pattern. Describe the line of symmetry; that is, the line is a vertical, horizontal or diagonal line of symmetry.
Add one blue square to the pattern to make a new pattern that has a line of symmetry. Draw the line of symmetry of the new pattern. Describe the line of symmetry; that is, the line is a vertical, horizontal or diagonal line of symmetry.
Draw two different ways that Song could arrange these tiles so that he has a shape with an order of rotational symmetry of . For each of the patterns you drew, how many lines of symmetry do your patterns of tiles have.