Shapes with 4 Equal Sides

Geometry Level 1

How many of the following shapes must have 4 equal side lengths:

isosceles triangle, square, parallelogram, rectangle, rhombus, pentagon ? \mbox{ isosceles triangle, square, parallelogram,}\\ \mbox{rectangle, rhombus, pentagon}?


The answer is 2.

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1 solution

Arron Kau Staff
May 13, 2014

The square and rhombus have 4 equal side lengths.

The parallelogram and rectangle have 4 sides, but they do not need to be equal.

The isosceles triangle only has 3 sides.

The pentagon has 5 sides, though all of them could be different. Hence, it does not have 4 equal side lengths.

Thus, only 2 of the figures have 4 equal side lengths.

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