Euclidean Geometry is one of 9 topics in the Grade 12 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. Two polygons that are exactly the same shape AND the same size are described as:
Congruent
Similar but not congruent
Proportional only
Equiangular only
Answer: Congruent — Congruent polygons are exactly the same shape and size, with every corresponding side and angle equal.
Easy
2. For two similar polygons, what is true of their corresponding angles and sides?
Corresponding angles are equal; corresponding sides are in the same fixed ratio
Corresponding angles are in a ratio; corresponding sides are equal
Both angles and sides must be exactly equal
Neither angles nor sides need any relationship
Answer: Corresponding angles are equal; corresponding sides are in the same fixed ratio — Similar polygons have equal corresponding angles and corresponding sides in the same fixed ratio (the scale factor).
Medium
3. Which condition, on its own, is sufficient to prove two triangles similar?
Two pairs of corresponding angles are equal (AA)
One pair of corresponding sides is equal
One pair of corresponding angles is equal, with no other information
The two triangles have the same perimeter
Answer: Two pairs of corresponding angles are equal (AA) — For triangles specifically, AA (two equal corresponding angles) is sufficient, since the third angle is then automatically equal too (angles sum to 180 degrees).
