Triangles Homework
Q1. The diagram shows a triangle.
All the sides are equal in length.
(a) What is the name given to this special type of triangle?
Answer ...... (1)
(b) The diagram shows a shape made up of two of these triangles.
(i) What is the mathematical name of this shape?
Answer ...... (1)
(ii) Write down the order of rotational symmetry of this shape.
Answer ...... (1)
(iii) Draw the lines of symmetry on the shape. (2) (Total 5 marks)
Q2. Joanne is making shapes using some of these rods.
Not drawn accurately
(a) She makes an isosceles triangle using three of the rods.
Draw a sketch to show how she could do this.
Show the length on each side.
(1)
(b) She makes a quadrilateral using two 3 cm rods and two 5 cm rods.
Write down the names of two possible quadrilaterals that she could make.
Answer ...... and ...... (2)
(c) She tries to make a triangle using one rod of each length. Explain why she cannot do this.
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(Total 4 marks)
Q3. ABC is a triangle.
D is a point on AB such that BC = BD.
(a) Work out the value of x.
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Answer ...... degrees
(2)
(b) Work out the value of y.
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Answer ...... degrees
(2)
(c) Does AD = DC? Give a reason for your answer.
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(1)
(Total 5 marks)
Q4. The base of a triangle is 36 mm.
The height of the triangle is 32 mm.
(a) Work out the area of the triangle.
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Answer ...... mm2
(2)
(b) The dimensions of the triangle are given to the nearest millimetre.
Write down the least possible length of the base of the triangle.
Answer ...... mm (1) (Total 3 marks)