ANALYTICAL GEOMETRY Use a Cartesian co-ordinate system to derive and apply: (a) the equation of a line through two given points (b) the equation of a line through one point and parallel or perpendicular to a given line (c) the inclination of a line.
Assessment standards from Grade 10 will be assumed knowledge.
The concept of collinearity must be understood.
Prove properties of polygons using analytical methods. For example:
Prove that the quadrilateral:
A(–1 ; –2),
B(–4 ; 2),
C(1 ; 2) and
D(4 ; –2)
is a rhombus.
Use a two-dimensional Cartesian co-ordinate system to derive and apply: (a) the equation of a circle (any centre); (b) the equation of a tangent to a circle given a point on the circle.
All assessment standards from Grade 10 and 11 will be assumed knowledge.
Learners are expected to know and be able to use as an axiom:
"The tangent to a circle is perpendicular to the radius drawn to the point of contact."
Concepts such as:
will not be examined.