It is recommended that students have some experience with the lessons in Topic D from Module 2 before beginning these lessons. In Lesson 13 of Topic C, students are presented with a general proof that uses the Angle-Angle criterion. In Lesson 14, students are presented with a proof of the converse of the Pythagorean Theorem. Also in Lesson 14, students apply their knowledge of the Pythagorean Theorem (i.e., given a right triangle with sides a, b, c, where c is the hypotenuse, then a2 + b2 = c2) to determine unknown side lengths in right triangles.
Students also use the converse of the theorem (i.e., given a triangle with lengths a, b, c, so that a2 + b2 = c2 then the triangle is a right triangle with hypotenuse c) to determine if a given triangle is in fact a right triangle.
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