Students will learn how to use the Pythagorean theorem to find the distance between two points in 2-dimensional space.
Distance formula by Khan Academy
Distance between two points by Khan Academy
After that, students will learn how to classify a triangle as scalene, isosceles, or equilateral given the coordinates of the triangle's vertices. They will find the distance between each pair of points by using the Pythagorean theorem or the absolute difference. Here's one problem being solved.
Conclude by leading this investigation:
Venn Diagram Puzzles