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

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Presentation on theme: "Objectives: To identify and use the properties of triangles and quadrilaterals. Vocabulary:"— Presentation transcript:

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

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

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

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

7 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

8 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

9 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

10 Here are the 8 different triangles that are possible.

11 Which of these triangles have an obtuse angle?

12 Which of these triangles are isosceles?

13 Which of these triangles contain a right angle?

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

15 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.

16 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?

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

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

19 Thank you for your attention


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