In this topic, students will:
understand the Pythagorean Theorem
given two side lengths of a right triangle, use the Pythagorean Theorem to find the length of the third side
understand why the Converse of the Pythagorean Theorem is true
apply the Converse of the Pythagorean Theorem to identify right triangles
use the Converse of the Pythagorean Theorem to analyze two-dimensional shapes
apply the Pythagorean Theorem and its converse to solve real-world problems
apply the Pythagorean Theorem to solve problems that involve three dimensions
apply the Pythagorean Theorem to find the distance between two points on a map or coordinate plane
find the perimeter of a figure on a coordinate plane
identify the coordinates of the third vertex of a triangle on the coordinate plane
Vocabulary:
Hypotenuse - the side opposite the right angle in a right triangle; the longest of the three sides.
Leg - the two sides of a triangle that come together to create a right angle on a right triangle
Pythagorean Theorem - a relationship between the three sides of a right triangle that states the hypotenuse squared must equal the sum of leg a and leg b squared
Proof - a logical argument in which every statement of fact is supported by a reason
Converse of the Pythagorean Theorem - states that if a2+b2=c2 for side lengths a, b, and c of a triangle, then the triangle is a right triangle