Geometry & Handling Data – Quiz with Answers
20 questions • basic geometry, vectors, and trigonometry
Section A – Questions 1–12
- When two straight lines meet at a common point, what is formed?
✅️ An angle - A plane figure bounded by three or more line segments is called what?
✅️ A polygon - Two angles sharing a common vertex and a common side are called what?
✅️ Adjacent angles - Find the size of each exterior angle of a regular hexagon.
✅️ 60° - A ladder 8 m long leans against a vertical wall. The foot is 3 m from the wall. Find the angle the ladder makes with the wall (correct to 4 significant figures).
✅️ 68.20° - Which of the following is not a line segment?
✅️ Touch light - A triangle whose angles are 70°, 60°, and 50° is what type of triangle?
✅️ Scalene triangle - Given sin x = 0.8, find cos x.
✅️ 0.6 - Given vector AB = (4, 1), find |AB|.
✅️ √17 - In a triangle, the common end point is known as what?
✅️ Vertex - A zero vector has a magnitude of how many units?
✅️ 0 - Find AB, if BA = (−7, 5).
✅️ (7, −5)
Section B – Questions 13–20
- Find the length of the position vector of point K(3, 4).
✅️ 5 units - Given vectors AB = (5, 4) and BC = (−1, 2), find AC.
✅️ (4, 6) - Find the area of a triangle whose base is 8 cm and height is 12 cm.
✅️ 48 cm² - Given x = cos 60° and y = sin 60°, find y/x.
✅️ √3 - Evaluate 2sin 60°.
✅️ √3 - In the figure, APB is a straight line. If ∠APC = 80° and ∠DPB is 20° less than ∠CPD, find the size of ∠DPB.
✅️ 50° - Two supplementary angles are in the ratio 1:4. What is the measure of the smaller angle?
✅️ 36° - “All parallel angles are equal but not all equal angles are parallel.” State whether this is True or False.
✅️ True
