In this lesson, students apply their knowledge of constructing perpendicular lines and transferring distances to construct squares—first a square with a given side, then a square inscribed in a circle. Students will need to recognize the structure of perpendicular parts (sides or diagonals) to identify an appropriate construction technique (MP7).

In the Warm-up, students identify attributes belonging to categories of two-dimensional figures to prompt them to consider the characteristics of a square. Students learn the term regular polygon to describe shapes, including squares, that are both equilateral and equiangular.

If students have ready access to digital materials in class, they can choose to perform all construction activities with the GeoGebra Construction tool accessible in the Math Tools or available at https://im612.org/construction-tool.