Pickles AcademyStart for freeGeometric constructions – practice for Years 8–9
Sample questions on Geometric constructions with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.
- Subject
- Maths
- Year
- Years 8–9
- Curriculum area
- Geometry and measures
Question types: Constructing a triangle
Rule: Geometric constructions
An isosceles triangle with base AB has its vertex C on the perpendicular bisector of AB.
Measure the height h along it from the midpoint of AB. There are two solutions, one on each side of AB.
Example: AB = 6 cm, h = 3 cm: C lies 3 cm from the midpoint of AB, at right angles to AB
Watch out: The height is measured at right angles to the base from its midpoint, not from point A.
Sample questions
-
Question 1 Easy
Line segment AB is 5 cm long. Construct point C so that triangle ABC is isosceles with base AB and height h = 3 cm. Click where point C belongs (1 square = 1 cm).
Show the solution
Answer:How it works: Point C lies on the perpendicular bisector of AB, 3 cm from its midpoint. There are 2 solutions, one on each side of AB.
-
Question 2 Normal
Line segment AB is 5 cm long. Construct point C so that triangle ABC is isosceles with base AB and height h = 3 cm. Click where point C belongs (1 square = 1 cm).
Show the solution
Answer:How it works: Point C lies on the perpendicular bisector of AB, 3 cm from its midpoint. There are 2 solutions, one on each side of AB.
-
Question 3 Hard
Line segment AB is 4 cm long. Construct point C so that triangle ABC is isosceles with base AB and height h = 2 cm. Click where point C belongs (1 square = 1 cm).
Show the solution
Answer:How it works: Point C lies on the perpendicular bisector of AB, 2 cm from its midpoint. There are 2 solutions, one on each side of AB.
Keep practising in the app
In a minute, your child has their own avatar and a first task. Free, no ads, data in the EU.
Start for free