Radius & Tangent What is the relationship between tangents and radii? A tangent is a line that touches a circle at a single point but doesn't cut across the circle A tangent to a circle is perp...
Angle in a Semicircle What is the angle in a semicircle property? It is always possible to draw a unique circle through the three vertices of a triangle – this is called the circumcircle of the tri...
Bisection of Chords How can I find the equation of a perpendicular bisector? The perpendicular bisector of a line segment: is perpendicular to the line segment goes through the midpoint of the line...
Finding the Centre & Radius How can I find the centre and radius from any form of the equation of a circle? A circle equation in a different form can always be rearranged into (x- a)2 + (y - b)...
Equation of a Circle What do I need to know about the equation of a circle? A circle with centre (a, b) and radius r has the equation You need to be able to find the centre and radius of a circle ...
Modelling with Straight Lines What is modelling with straight lines? Modelling means applying the mathematics to a real-life situation The model is used to find or predict future values Models will...
Equation of a Straight Line What is the equation of a straight line? y = mx + c is the equation for any straight line m is gradient given by “difference in y” ÷ “difference in x” or dy/dx c is the ...
Parallel & Perpendicular Gradients What are parallel lines? Parallel lines are equidistant meaning they never meet Parallel lines have equal gradients What are perpendicular lines? Perpendicula...
Basic Coordinate Geometry What is basic coordinate geometry? Basic coordinate geometry refers to working with points, lines and shapes on the coordinate axis Cartesian coordinates are simply the x ...
