(a) [Figure 10.1]
- (a)(i)Describe fully the single transformation that maps triangle A onto triangle B.[2]
- (a)(ii)Triangle B is mapped onto triangle C by a translation, vector [-2, -3]. Draw and label triangle C.[2]
- (a)(iii)Triangle A is mapped onto triangle D by a reflection in the line y = x . Draw and label triangle D.[2]
- (a)(iv)Triangle E is geometrically similar to triangle A and its longest side is 12 cm. Calculate the area of triangle E.[2]
- (b)State the number of lines of symmetry of the octagon above. [Figure 10.2][1]
- (c)The cross-section of a prism is an equilateral triangle. State the number of planes of symmetry of the prism.[1]
- (d)Name two special quadrilaterals that have exactly 2 lines of symmetry and also rotational symmetry of order 2.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.
- [2] B1 for Rotation; B1 for 90° anticlockwise and about (1,1); Rotation 90° anticlockwise about (1,1)
- [2] B1 for two correct vertices; Correct triangle
- [2] B1 for two correct vertices; Correct triangle
- [2] B1 for 4² soi or M1 for 1/2 × 12 × 4; 24
- [1] 2
- [1] 4
- [2] B1 for one correct; Rectangle, Rhombus
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