Question

Explain how you would name a sorting rule for square, rectangle, and triangle

Answer 1

you could sort them by how many sides the figure has, then it would be split up into 2 groups, one group with 4 sides and another with 3

Answer 2

A closed convex polygon with 3 sides is called a triangle.

A closed convex polygon with 4 sides is called a quadrilateral.

If in a quadrilateral, two pairs of opposite sides are parallel, then it is a parallelogram.

If in a parallelogram, one of the angles is 90°, then it is a rectangle.

If in a parallelogram, all the four sides are equal, then it is called a rhombus.

If in a rhombus, the two diagonals are equal, then it is called a square.

We can frame the sorting rule as follows:

Polygon with 4 equal sides - Square, Rhombus

Polygon with 4 unequal sides - Parallelogram, Rectangle, Kite, Trapezium, Quadrilateral

Polygon with 3 equal sides - Equilateral triangle

Polygon with 3 unequal sides - Skalene triangle

etc.