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© Boardworks Ltd 2004 1 of 57 S2 2-D shapes KS3 Mathematics
© Boardworks Ltd 2004 2 of 57 A A A A A Contents S2 2-D shapes S2.1 Triangles and quadrilaterals S2.2 Polygons S2.5 Circles S2.3 Congruence S2.4 Tessellations
© Boardworks Ltd 2004 3 of 57 Labelling lines and angles in a triangle When we label angles in a triangle we use capital letters to label the vertices, going round in order, clockwise or anticlockwise. A B C a bc This triangle can be described as ABC. The side opposite A is called side a. The side opposite B is called side b. The side opposite C is called side c.
© Boardworks Ltd 2004 4 of 57 Labelling lines and angles in a triangle How can we complete the labeling of this triangle? ? ? ? r This triangle is calledPQR P q Q R p
© Boardworks Ltd 2004 5 of 57 Right-angled triangle Triangles are named according to their properties. A right-angled triangle contains a right angle. The longest side opposite the right angle is called the hypotenuse.
© Boardworks Ltd 2004 6 of 57 Isosceles triangle Triangles are named according to their properties. An isosceles triangle has two equal sides. Lines of symmetry are indicated with dotted lines. The two base angles are also equal. An isosceles triangle has one line of symmetry. The equal sides are indicated by these lines.
© Boardworks Ltd 2004 7 of 57 Equilateral triangle Triangles are named according to their properties. An equilateral triangle has three equal sides An equilateral triangle has three lines of symmetry and has rotational symmetry of order 3. and three equal angles.
© Boardworks Ltd 2004 8 of 57 Scalene triangle Triangles are named according to their properties. A scalene triangle has no equal sides and no equal angles. A scalene triangle does not have any lines of symmetry.
© Boardworks Ltd 2004 9 of 57 What type of triangle is this? This is a right-angled isosceles triangle. It has one line of symmetry and no rotational symmetry. Naming triangles What symmetry properties does it have?
© Boardworks Ltd 2004 10 of 57 Triangles on a 3 by 3 pegboard
© Boardworks Ltd 2004 11 of 57 Quadrilaterals Quadrilaterals are also named according to their properties. A shape can be classified according to whether it has: equal angles right angles diagonals that are at right angles diagonals that bisect each other equal and/or parallel sides rotational symmetry. line symmetry
© Boardworks Ltd 2004 12 of 57 Parallelogram In a parallelogram opposite sides are equaland parallel. The diagonals of a parallelogram bisect each other. A parallelogram has rotational symmetry of order 2.
© Boardworks Ltd 2004 13 of 57 Rhombus A rhombus is a parallelogramwith four equal sides. The diagonals of a rhombus bisect each other at right angles. A rhombus has two lines of symmetry and it has rotational symmetry of order 2.
© Boardworks Ltd 2004 14 of 57 Rectangle A rectangle has opposite sides of equal length A rectangle has two lines of symmetry. and four right angles.
© Boardworks Ltd 2004 15 of 57 Square A square has four equal sidesand four right angles. It has four lines of symmetry and rotational symmetry of order 4.
© Boardworks Ltd 2004 16 of 57 Trapezium A trapezium has one pair of opposite sides that are parallel. Can a trapezium have any lines of symmetry? Can a trapezium have rotational symmetry?
© Boardworks Ltd 2004 17 of 57 Isosceles trapezium In an isosceles trapezium the two opposite non-parallel sides are the same length. The diagonals of an isosceles trapezium are the same length. It has one line of symmetry.
© Boardworks Ltd 2004 18 of 57 Kite A kite has two pairs of adjacent sides of equal length. The diagonals of a kite cross at right angles. A kite has one line of symmetry.
© Boardworks Ltd 2004 19 of 57 Arrowhead An arrowhead or delta has two pairs of adjacent sides of equal length and one interior angle that is more than 180°. Its diagonals cross at right angles outside the shape. An arrowhead has one line of symmetry.
© Boardworks Ltd 2004 20 of 57 Quadrilateral family tree This family tree shows how the quadrilaterals are related. Q UADRILATERAL K ITE P ARALLELOGRAM T RAPEZIUM R ECTANGLE R HOMBUS S QUARE D ELTA I SOSCELES T RAPEZIUM
© Boardworks Ltd 2004 21 of 57 True or false
© Boardworks Ltd 2004 22 of 57 ? Guess the shape The shape is a kite. Can you identify this shape from its properties? Its diagonals cross at right angles. It has one vertical line of symmetry. None of its interior angles are more than 180°. It has two pairs of adjacent sides of equal length. It is a quadrilateral.
© Boardworks Ltd 2004 23 of 57 ? Guess the shape The shape is an isosceles trapezium. Can you identify this shape from its properties? Its diagonals are of equal length. It has one vertical line of symmetry. One pair of opposite, non-parallel sides are the same length. It has one pair of parallel sides. It is a quadrilateral.
© Boardworks Ltd 2004 24 of 57 Quadrilaterals on a 3 by 3 pegboard
QUADRILATERALS. Parallelogram In a parallelogram opposite sides are equaland parallel. The diagonals of a parallelogram bisect each other. A parallelogram.
© Boardworks Ltd of 57 S2 2-D shapes KS3 Mathematics.
WARM UP: What is the definition of Congruent? What is the definition of Parallel? What is a Right Angle?
© Boardworks Ltd of 67 S1.2 Triangles Contents S1 Lines, angles and polygons S1.3 Quadrilaterals S1.5 Congruence S1.6 Similarity S1.4 Angles in.
Homework Classifying Quadrilaterals Only ODD. Lesson 6.15 Quadrilaterals.
The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08.
© Boardworks Ltd of 67 S1 Lines, angles and polygons KS4 Mathematics.
A parallelogram has opposite sides and opposite angles equal.
A Quadrilateral is a four sided shape which can be made from 2 triangles The angles add up to 2 X 180 = 360º A B C D A + B + C + D =360 The area =sum of.
All about Shapes Ask Boffin! Properties of Shapes Number of sides Number of angles Number of lines of symmetry Regular or irregular Right Angles Parallel.
What Quadrilateral am I? I have… 1 Diagonals that intersect at right-angles One line of symmetry All internal angles are acute or obtuse One pair of equal.
CHAPTER 23 Quadrilaterals. Special Quadrilaterals 1. Square a) All sides are the same length b) All angles are the same size (90°) c) Its diagonals bisect.
All about Shapes.
A. Slack. A parallelogram has opposite sides and opposite angles equal.
Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity.
Parallel lines are always the same distance apart They go in the same direction They never meet.
QUADRILATERALS. A plane shape with four straight sides is called a quadrilateral. We name quadrilaterals by looking at the properties of their sides.
Special Quadrilaterals. KITE Exactly 2 distinct pairs of adjacent congruent sides Diagonals are perpendicular Angles a are congruent.
Geometry The shape of things to come…. Quadrilaterals.
-A two dimensional closed shape with four straight sides is called a quadrilateral. - Quad means four. - Quadrilaterals can be classified as follows:
Shapes and their properties. What am I? I have 2 pairs of equal sides I have 2 pairs of parallel sides I have 0 lines of symmetry I have no right-angles.
Quadrilaterals Jacob, Allie, and Jesenia. Definition ★ Quadrilateral means “4 sides ★ “Quad” means 4 and “lateral” means sides.
© Boardworks of 15 Quadrilaterals. © Boardworks of 15 Types of quadrilaterals.
Names Properties of Quadrilaterals Trapezium Parallelogram Rectangle Square Rhombus Kite.
Properties of 2-D Shapes Equilateral Triangle Isosceles Triangle Right-Angled Triangle Scalene Triangle Quadrilateral Rectangle.
Types of Quadrilaterals (4-sided figures). A four sided figure with both pairs of opposite sides parallel.
Properties of Quadrilaterals Elizabeth Turley 4/27/13 Honors Geometry Chapter 8.
Names Properties of Quadrilaterals Trapezoid Parallelogram Rectangle Square Rhombus Kite.
Quadrilaterals Shapes with 4 sides! We are all quadrilaterals. We all have 4 sides. Remember just like a quad bike.
© T Madas Show me a shape with…. © T Madas Show me a shape with… 4 equal sides.
What 2D shape am I?. I am a polygon. I have 6 equal sides. I have 6 equal angles. Opposite sides are parallel. What 2D shape am I? A hexagon.
Definition Quadrilateral – a polygon with 4 angles and 4 straight sides.
Properties of 2-D Shapes Equilateral Triangle Isosceles Triangle Right-Angled Triangle Scalene Triangle Quadrilateral Rectangle Square Oblong Parallelogram.
In geometry,a quadrilateral is a polygon with 4sides.
Geometry Notes Lesson 4.1B Special Quadrilaterals.
1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Quadrilaterals Stage 6 - Year 11 Mathematic (Preliminary)
Quadrilaterals MATH 124. Quadrilaterals All quadrilaterals have four sides. All sides are line segments that connect at endpoints. The most widely accepted.
Let’s review our shapes…. What is this shape? What makes this shape an EQUILATERAL TRIANGLE ? 1. It’s a TRIANGLE. 2. All the sides are the SAME LENGTH.
2D Shapes How many different triangles can you make on the grid? Don’t include reflections / rotations of triangles already made How many different squares.
© Boardworks Ltd of 58 KS3 Mathematics S4 Coordinates and transformations 1.
Objective: Pupils can name 2D shapes Rectangle Square Oblong Name this shape.
The mathematical study of the properties, measurements, and relationships of points, lines, planes, surfaces, angles, and solids. Geometry.
7.G.5 Triangles and Angles Geometry Mr. Nealey 7 th Grade.
1 MADE BY NORBERT GAUCI Class AREA OF A PARALLELOGRAM Its opposite sides are parallel. Opposite sides and opposite angles are equal. Its diagonals.
Vocabulary Triangles and Quadrilaterals Congruency,
© T Madas. 1.Angles in a straight line add up to 180° 2.The diagonals of a rhombus meet at right angles 3.Two right angles make up a full turn 4.Perpendicular.
What is 1) A rhombus? 2) A parallelogram? 3) A square? 4) A rectangle? Ext: Can you find another way of describing these shapes?
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