Treasure Inspiration
Constructions & Loci
T

Constructing Triangles and Angles

Push a bit harder. Apply what you know to less familiar problems.

Mathematics · Medium

5

questions · ~4 min · 3 hints each (−5 pts)

Confidence tracking, 3-tier hints and instant feedback.

What you'll learn

Each question helps you build key knowledge and skills.

  • 1To construct a triangle given three sides (SSS), draw one side, then use compasses set to the other two lengths to find the third vertex.
  • 2To bisect an angle, draw an arc crossing both arms, then from those points draw arcs that cross to give the bisector line.
  • 3To construct a 60° angle, draw an arc from a point on a line, then use the same compass width to mark an equal arc from that point.
  • 4To draw a perpendicular from a point to a line, use compasses to create two equal arcs on the line, then bisect between them.

Question mix

A mix of question types to build your skills.

  • Fill the gap×3
  • True / False×1
  • Multiple choice×1

Different question types help you think in different ways.

How it works

A simple 3-step process

  1. 1

    Rate your confidence

    Tell us how sure you feel before answering. It helps us understand your starting point.

  2. 2

    Use hints if stuck

    Get up to 3 helpful hints per question. Each hint costs 5 Treasure Points.

  3. 3

    See what went wrong

    Get instant feedback with clear explanations, so you can learn and improve.

Ready when you are

This takes about 4 minutes.