Theorems
You need to be able to use all of the theorems on the syllabus. Here is a list of them
You need to be able to prove:
You need to be able to prove:
- Theorem 11 - If 3 parallel lines cut off equal segments on some transversal line, then they cut off equal segments on any other transversal
- Theorem 12 - Let ABC be a triangle. If the line t is parallel to BC and cuts AB in a ratio of m:n , then it also cuts AC in the same ratio
- Theorem 13 - If 2 triangles ABC and DEF are similar then their sides are proportional in order
Constructions
You need to be able to carry out any of the 22 constructions on the higher lever course. Here are links to each of them
Here is a link to a geogebra file demonstrating enlargments
- Bisector of an angle
- Perpendicular bisector of a line segment
- A line Perpendicular to a given line, through a point
- A line perpendicular to a given line, through a point on the given line
- A line parallel to a given line, through a given point
- Divide a line into 2 or 3 equal segments
- Divide a line into any number of equal segments
- A line segment of a given length on a given ray
- An angle of a given number of degrees
- A triangle, given 3 sides
- A triangle, given 2 sides and an angle
- A triangle, given 1 side and 2 angles
- A triangle, given 2 sides and a right angle
- A triangle, given a side, a right angle and another angle
- A rectangle, given 2 sides
- Circumcentre and circumcirle
- Incentre and incircle
- An angle of 60, without protractor
- A tangent to a circle, at a point
- A parallelogram
- Centroid of a triangle
- or here is a link to all of them if you can't access the above on Apple deices
Here is a link to a geogebra file demonstrating enlargments