Problem 6 · 2010 Math Kangaroo
Medium
Geometry & Measurement
spatial-reasoning
Martina draws the six corner points of a regular hexagon (see picture) and then connects some of them to obtain a geometric figure. Which of the following figures cannot be made?
Show answer
Answer: C — square
Show hints
Hint 1 of 2
Mark the six vertices of a regular hexagon and try to form each named shape.
Still stuck? Show hint 2 →
Hint 2 of 2
A square needs four points with equal sides and right angles — check whether any four hexagon vertices give that.
Show solution
Approach: try to realise each shape on hexagon vertices
- A trapezium, a right-angled triangle, a kite and an obtuse triangle can all be formed from hexagon vertices.
- But no four of the six regular-hexagon vertices form a square.
- So the impossible one is the square.
Mark:
· log in to save