Maths Revision Worksheet: Paper II Constructions and Enlargements
Maths Revision Worksheet: Paper II Constructions and Enlargements
Enlargements
1. I know that Scale Factor k = length of image side / length of object side
Ex 1 Pg 433
2. I know that if k > 1, the image is an enlarged copy of the object
3. I know that is k < 1, the image is a reduced copy of the object
4. I know that Scale Factor k2 = area of image side / area of object side and that I can use
this formula to find k if I am given the object area and the enlarged image area
Ex 2 Pg 434
SP1 Q6c
5. I know how to draw an image of an object given the Centre of Enlargement and the
Scale Factor k
SP1 Q6b
SP1 Q6a
6. I know how to find the Centre of Enlargement given the Object and its image by joining
2 sets of corresponding points and finding the intersection of where they meet. (Pg 433)
7. I know how to solve problems like Q12 pg 438 and Q15 Pg 439
Constructions
8. I know to leave any construction arcs made with a compass on my answer sheet as
evidence of correct method.
9. I know how to construct an image of an object under axial symmetry in a given line.
2013 Q6
10. I know that ‘equidistant’ means ‘equal distance’.
11. I have watched the construction videos on line at
http://www.pcalearning.net/maths/revise.htm
12. I know how to construct a triangle given its 3 dimensions
2015 Mock Q6
SP1 Q6a
SP2 Q6b
SP5 Q6b
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Maths Revision Worksheet: Paper II Constructions and Enlargements
13. I know how to construct a parallelogram given the lengths of the sides and the
measure of the angle
14. I know how to construct an angle of 60°
15. I know how to construct an equilateral triangle (3 angles of 60°)
16. I know how to construct the tangent to a circle at a given point on it.
2012 Q6a
17. I know how to bisect a line segment by constructing perpendicular bisectors
18. I know that given a triangle, I can find the circumcentre of the triangle located at the
intersection of the perpendicular bisectors.
19. I know that the circumcentre is a point that is equidistant from the 3 vertices of the
triangle and that I can use this to construct the circumcircle which touches the 3
vertices.
2012 Q6b
20. I know how to bisect an angle and given a triangle locate the intersection of 2 angle
bisectors to find the incentre of the triangle. That point (the incentre) which is
equidistant to the 3 sides of the triangle.
21. I know that I can construct a perpendicular line from the incentre to the base of the
triangle.....set my compass pin on the incentre and the pencil on the intersection at the
base and construct the incircle of the triangle.
2014 Q6
SP4 Q6b
22. I know that the incircle of the triangle is the largest circle that will fit into the triangle
23. I can construct the medians of a triangle knowing that the median is the line which joins
the vertices of the triangle to the midpoint of the opposite sides.
24. I know that the intersection of medians locates the centroid (a point 2/3 of distance
between the vertex and the opposite side) of a triangle.
25. I can solve problems like Q12 and Q16 Pg 446.
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