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Geometry Ch9
Geometry
| Term | Definition |
|---|---|
| The Area Postulate | Every polygonal region has a positive number called its area such that (1) congruent triangles have equal area and (2) the area of a polygonal region is equal to the sum of the areas in the non overlapping parts. |
| Postulate 9 | The area of a rectangle is the product of its base and altitude |
| Corollary to Postulate 9 | The area of a square is the square of its side |
| Theorem 38 | The area of a right triangle is half the product of its legs |
| Theorem 39 | The area of a triangle is half the product of any base and corresponding altitude |
| Corollary to Theorem 39 | Triangles with equal bases and equal altitudes have equal areas |
| Theorem 40 | The area of a parallelogram is the product of any base and corresponding altitude |
| Theorem 41 | The area of a trapezoid is half the product of its altitude and the sum of its bases |
| The Pythagorean Theorem | The square of the hypotenuse of a right triangle is equal to the sum of the square of its legs. |
| Corollary to the Pythagorean Theorem | If the square of one side of a triangle is equal to the sum of the squares of the other two sides. the triangle is a right triangle |
Created by:
RebekahLearns