
This video explains how to divide an angle into two equal parts, also known as the bisection of the angle. The line created is such that any point on this line is the same distance from the two lines which make up the angle. This is also sometimes explained as the locus of points on this line is equidistant to the two lines that make up the angle.
This video explains how to divide a line between two points (say A and B) into two equal parts, known as the perpendicular bisector of the line. The line cutting the line between A and B is at a right angle (90o) and every point on this perpendicular bisector is at the same distance from A and B. In maths, the locus of points that is equidistant between two points on a line is called the perpendicular bisector.
This video explains how to construct a perpendicular bisector of a point on a line, say A to B. This point can be anywhere on the line AB.
This video explains how to construct a perpendicular bisector from a point outside a line tho the line, say AB.
This video uses the example of constructing a triangle to put together several of the concepts explained earlier. Please take your time to review, watch, pause and attempt yourself.
This course will help you understand the main concepts involved in the construction and loci sections of the Wassce core maths exam. It will explain what a locus is, how to bisect and angle, how bisect a line and how to combine this knowledge to construct triangles and quadrilaterals.
Topics covered include:
Bisector of angles
Bisector of a line
Angles of 90, 60, etc
Points at a given distance from a given point.
Points equidistant from two given points.
Points at a given distance from two straight lines.
Construction of triangles and quadrilaterals
To be able to do this course, you must have a working knowledge of angles, triangles and quadrilaterals as it is assumed that you have already encountered these topics earlier on. You must also be confident in using a mathematical set. Also, always have a sharp pencil and an eraser to hand.
The best way to get the most out of this course is to spend time working out how you would answer the question yourself, before looking up our own suggested steps. Please make sure that you pause the video after we have explained what needs to be done.
Construction and loci are one of the more difficult sections of the Wassce exam and quite a few candidates avoid it. However, if you plan to study an engineering and/or science subject later on, we would advise you to take this course.