Points from Directions

This task provides a slightly more involved use of similarity, requiring students to translate the given directions into an accurate picture, and persevere in solving a multistep problem: They must calculate segment lengths, requiring the use of the Pythagorean theorem, and either know or derive trigonometric properties of isosceles right triangles (with the distinction between these two cases dictating its level of appropriateness for an 8th grade or high school task, and possibly the extent to which the task is appropriate for assessment).