Geometric Constructions, Loci & Tangency is one of 9 topics in the Grade 10 Engineering Graphics and Design CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.
Sample practice questions
Easy
1. To bisect a straight line using a compass, at what radius should the compass be opened?
Greater than half the line's length
Exactly equal to the line's full length
Exactly equal to half the line's length, no more
Any radius smaller than one quarter of the line's length
Answer: Greater than half the line's length — The compass is opened to a radius greater than half the line's length so the arcs drawn from each end, above and below the line, actually intersect at two points.
Easy
2. What does bisecting an angle produce?
Two equal halves of the original angle
A perpendicular line unrelated to the angle
A circle inscribed within the angle
Four equal quarters of the original angle
Answer: Two equal halves of the original angle — Bisecting an angle divides it exactly in half, producing two equal halves of the original angle, using arcs drawn from the angle's vertex and from the resulting crossing points on each arm.
Medium
3. When a straight line is correctly bisected using compass arcs, what relationship does the joining line have to the original line, besides crossing it at the midpoint?
Answer: perpendicular — The line joining the two arc-intersection points crosses the original line at its exact midpoint and is also perpendicular to it.
