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Mathematics · Grade 10 CAPS

Euclidean Geometry

Euclidean Geometry is one of 9 topics in the Grade 10 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 straight lines intersect. One of the angles formed is 110 degrees. Calculate the adjacent angle on the same straight line.

Answer: 70 — Angles on a straight line add up to 180 degrees: 180 - 110 = 70 degrees.
Easy

2. When two straight lines intersect, the pair of angles directly opposite each other are called:

Answer: Vertically opposite angles — Vertically opposite angles are formed when two lines intersect and are always equal.
Medium

3. A transversal crosses two parallel lines. Which pair of angles are on the same side of the transversal, between the two parallel lines, and are supplementary (add to 180 degrees)?

Answer: Co-interior angles — Co-interior (allied) angles lie on the same side of the transversal, between the parallel lines, and are supplementary.
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