Geometry · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. Draw parallel lines 3 cm apart.
- AUse a ruler and set square
- BUse only a compass
- CUse a protractor to measure 3 cm
- DDraw two lines that slowly come closer
Show answer
Answer: A) Use a ruler and set square
To draw parallel lines, use a ruler and set square to ensure they are 3 cm apart.
2. What does the abbreviation 'SAS' stand for in triangle construction?
- ASide-Angle-Side
- BSide-Angle-Sum
- CStraight-Angle-Side
- DSide-Area-Side
Show answer
Answer: A) Side-Angle-Side
SAS stands for Side-Angle-Side: two sides and the angle included between them are given.
4. A triangle PQR has PQ = 3 cm, QR = 4 cm and PR = 5 cm. Which angle is the right angle?
- AAngle Q
- BAngle P
- CAngle R
- DNo right angle
Show answer
Answer: A) Angle Q
Since 3² + 4² = 5², the right angle is between the two shorter sides PQ and QR, i.e. at vertex Q (opposite the longest side PR).
5. To construct a 60° angle using only a ruler and compass, the arc drawn from the vertex must be cut by a second arc of which radius?
- AThe same radius as the first arc
- BHalf the radius of the first arc
- CTwice the radius of the first arc
- DAny random radius
Show answer
Answer: A) The same radius as the first arc
For a 60° angle, an arc is drawn from the vertex, and from where it meets the base line a second arc of the SAME radius is drawn; joining the intersection to the vertex gives 60°, because this forms an equilateral triangle's angle.