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All about Shapes

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**Properties of Shapes Number of sides Number of angles**

Number of lines of symmetry Regular or irregular Right Angles Parallel lines

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Shapes Triangles Quadrilaterals Polygons Regular Shapes Key Words

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Quadrilaterals Shapes with 4 sides!

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What shape is this?

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A Square

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**How many lines of symmetry does a square have?**

2 1 3 4

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**Properties of a Square Has 4 equal sides Has 4 equal angles**

Each angle is a right angle Has 4 lines of symmetry Is a regular shape

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What shape is this?

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A Rectangle

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**How many lines of symmetry does a rectangle have?**

1 2

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**Properties of a Rectangle**

Has 2 pairs of equal sides Has 4 equal angles Each angle is a right angle Has 2 lines of symmetry Is an irregular shape

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What shape is this?

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A Parallelogram

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**How many lines of symmetry does a parallelogram have?**

None!

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**Properties of a Parallelogram**

Has 2 pairs of equal sides Has 2 pairs of equal angles Opposite sides are parallel Has NO lines of symmetry Is an irregular shape

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What shape is this?

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A Rhombus

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**How many lines of symmetry does a rhombus have?**

1 2

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**Properties of a Rhombus**

Has 4 equal sides Has 2 pairs of equal angles Opposite sides are parallel Has 2 lines of symmetry Is an irregular shape

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What shape is this?

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A Trapezoid

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**How many lines of symmetry does a trapezoid have?**

None!

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**How many lines of symmetry does this trapezoid have ?**

1 Because these angles are equal.

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**Properties of a Trapezoid**

Has unequal sides One pair of opposite sides are parallel Usually has NO lines of symmetry Is an irregular shape

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What shape is this?

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A diamond

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**How many lines of symmetry does a diamond have?**

1

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**Properties of a diamond**

Has 2 pairs of equal sides Has 1 pair of equal angles Equal sides are adjacent Has 1 line of symmetry Is an irregular shape

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Quadrilaterals Shapes with 4 sides!

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Triangles Shapes with 3 sides!

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**What type of triangle is this?**

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**An Equilateral Triangle**

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**How many lines of symmetry does an equilateral triangle have?**

1 2 3

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**Properties of an Equilateral Triangle**

Has 3 equal sides Has 3 equal angles Each angle is a 60o angle Has 3 lines of symmetry Is a regular shape

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**What type of triangle is this?**

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An Isosceles Triangle

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**How many lines of symmetry does an Isosceles Triangle have?**

1

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**Properties of an Isosceles Triangle**

Has 2 equal sides Has 2 equal angles Has 1 line of symmetry Is an irregular shape

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**What type of triangle is this?**

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A Scalene Triangle

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**How many lines of symmetry does a scalene triangle have?**

None!

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**Properties of an Scalene Triangle**

Has NO equal sides Has NO equal angles Has NO lines of symmetry Is an irregular shape

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**What type of triangle is this?**

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A right triangle

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**Properties of a right triangle**

Has 1 right angle May be an isosceles triangle May have 1 line of symmetry Is an irregular shape It will be isosceles and have 1 line of symmetry when these 2 sides are equal.

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Triangles Shapes with 3 sides!

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Key Words Regular Shape Parallel Perpendicular Vertex Diagonal Bisect

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**Regular Shape Shapes are regular when**

All their sides are the same length All their angles are the same size

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**when they are always the same distance apart.**

Parallel Lines are parallel when they are always the same distance apart.

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**when they meet at right angles.**

Perpendicular Lines are perpendicular when they meet at right angles.

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Vertex A Vertex is a corner of a shape where two lines meet.

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Diagonal A Diagonal is a straight line that joins one corner (vertex) of a shape to a non adjacent corner (vertex)

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Bisect A line that cuts a shape exactly in half, Bisects the shape

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Key Words Regular Shape Parallel Perpendicular Vertex Diagonal Bisect

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Polygons Shapes with many sides!

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What shape is this?

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A Hexagon

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**How many lines of symmetry does a hexagon have?**

4 1 2 5 6 3

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**Properties of a Regular Hexagon**

Has 6 equal sides Has 6 equal angles Has 6 lines of symmetry

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What shape is this?

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A Pentagon

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**How many lines of symmetry does a pentagon have?**

1 3 4 5 2

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**Properties of a Regular Pentagon**

Has 5 equal sides Has 5 equal angles Has 5 lines of symmetry

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Polygons Shapes with many sides!

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**Lines of Symmetry - Look at these shapes**

Can you suggest a rule?

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**Regular shapes All the sides are the same length**

All the angles are equal Have the same number of lines of symmetry as the number of sides

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**How many lines of symmetry?**

Look at these shapes Heptagon Octagon How many lines of symmetry?

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Lines of symmetry Heptagon Octagon 7 8

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Lines of symmetry Heptagon Octagon 7 8

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