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Triangle or No Triangle?

Age 5 to 7
Challenge Level Yellow star
Primary curriculum
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources
Max from Kiker Elementary School in the United States wrote saying:

This is a square. It has 4 equal sides. It has 4 corners. Each corner is 90 degrees.

Anahita from Guru Gobind Singh Khalsa College in Chigwell told us:

This is a 2-D shape. It has 4 right angles and 4 equal sides. It is known as a square. A right angle is equivalent to 90 degrees.

Nawaf from Pimlico Primary said:

1, 2, 3, 4, 5 are triangles.   6, 7, 8, 9, 10 are not triangles

A triangle has 3 edges and 3 vertices.
For the ones that are not triangles:
One is curved and does not have straight lines
One has a gap in it.
One is not a triangle because it has 4 edges.
The last one is not a triangle because the vertices are not pointy.

Thank you for these solutions. You may be able to find other ways of separating squares from triangles.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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