Euclidean Geometry is one of 9 topics in the Grade 10 Technical Mathematics 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. When a transversal crosses two parallel lines, what is true of co-interior angles?
They are supplementary (add up to 180 degrees)
They are always equal
They add up to 90 degrees
They are always right angles
Answer: They are supplementary (add up to 180 degrees) — Co-interior angles (same side of the transversal, between the parallel lines) are supplementary, summing to 180 degrees.
Easy
2. Which congruency condition applies specifically to right-angled triangles?
RHS (right angle, hypotenuse, side)
SSS (side, side, side)
AA (angle, angle)
SSA (side, side, angle)
Answer: RHS (right angle, hypotenuse, side) — RHS (right angle, hypotenuse, one other side) is the congruency condition specific to right-angled triangles.
Medium
3. Two triangles have angles 50, 60, 70 degrees and 50, 60, 70 degrees respectively. What congruency/similarity relationship do they have, at minimum?
Answer: similar (AA) — Matching all three angles proves similarity by AA (in fact, matching any two angles is enough since the third is then forced); this alone does not prove congruency unless a side length is also confirmed equal.
