Coordinate Geometry 1

This topic introduces learners to the study of geometric figures through algebraic equations in the coordinate plane. Students will explore the distance formula, midpoint, gradient of a line, angle between two line and the equation of a straight line in various forms, enabling a bridge between algebra and geometry.

Learning Outcomes:
The learner should be able to:

• State the cartesian equations of lines, gradients of straight lines intercepts.
• Calculate the midpoint of a line, distance between two points, and point of intersection of a pair of lines.
• Use the concept of the mid-point to determine subdivisions of a line and locate coordinates of any point on that line.
• Determine the angle between a line and the x-axis, relating it to the gradient of the line.
• Calculate the angle between two lines.
• Examine the relationship between gradients of parallel lines and perpendicular lines.
• Find the shortest distance between a point and a line.
• Apply concepts of basic coordinate geometry to solve and interpret geometric problems in real-life situations.