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Published byClaire Brennan Modified over 2 years ago

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Objectives: To identify and use the properties of triangles and quadrilaterals. Vocabulary:

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Name the quadrilaterals and state their identifying properties: W/S 8.1B

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Parallelogram Opposite sides equal Opposite sides parallel No lines of symmetry Rotational symmetry order 2

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Rectangle Opposite sides equal (and parallel) All angles 90º Two lines of symmetry Rotational symmetry of order 2

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Rhombus All sides equal Opposite sides parallel Two lines of symmetry Rotational symmetry of order two Isosceles trapezium One pair of equal sides One pair of parallel sides A line of symmetry No rotational symmetry

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Square Four equal sides All angles 90º Four lines of symmetry Rotational symmetry of order 4 Trapezium One pair of opposite sides parallel No lines of symmetry No rotational symmetry

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Using a 3 by 3 pinboard draw as many different triangles as you can find. Example These two triangles are the same (congruent) – one is a translation of the other. These two triangles are the same (congruent) – one is a rotation of the other. You need W/S 8.2B

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Here are the 8 different triangles that are possible.

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Which of these triangles have an obtuse angle?

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Which of these triangles are isosceles?

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Which of these triangles contain a right angle?

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Conventional labelling: AB C D The marked angle is angle ADC or angle CDA. Sometimes written as

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D AB has been extended to point D. Angle CBD (marked) is an external angle of the triangle. A B C Follow these instructions: Draw a triangle and label the vertices A, B and C. Extend line BC to the point D and label point D. What do you know about the angles ACD and ACB? Angles ACD and ACB are on a straight line and therefore have a sum of 180º.

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You have two congruent right-angled triangles. What different quadrilaterals can you make by putting sides of equal length together? Example: parallelogram Using two congruent right-angled triangles what other shapes can you make?

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Here are the quadrilaterals you can find. Other shapes you can produce are:

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Objectives: To identify and use the properties of triangles and quadrilaterals. Vocabulary:

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Thank you for your attention

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