CEMC Banner

Problem of the Week
Problem A
Star of Lakshmi

The Star of Lakshmi can be found in many places around the world. You can construct this shape by starting with two congruent squares on top of each other. (Two squares are congruent if they have the same side length.) Then imagine you have a pin in the centre of the square and you rotate the top square by \(45\degree\) (half of a quarter turn). The outline of the result would look like the following shape.

An eight pointed star.

Fill in the table below with details about this shape.

Number of sides
Number of vertices
Number of interior right angles
Number of interior acute angles (angles that are less than \(90\degree\))
Number of lines of symmetry

Theme: Geometry & Measurement