Task# Finding isosceles triangles

Illustrative MathematicsVaries

This task looks at some triangles in the coordinate plane and how to reason that these triangles are isosceles. One way to do this is to calculate side lengths using the Pythagorean Theorem. This method is not, however, always the most efficient. For the triangles given in parts (a) and (b) two of the legs are obtained by moving along the grid lines, from one vertex, by the same number of squares vertically and horizontally.