| A | B |
|---|
| perimeter | the sum of the lengths of the sides of a polygon |
| Area of a Square Postulate | The area of a square is the square of the length of its side |
| Area Congruence Postulate | If two polygons are congruent, they have the same area. |
| Area Addition Postulate | The area of a region is the sum of the areas of all its non-overlapping parts |
| Area of a Rectangle Theorem | The area of a rectangle is the product of its base and height, or A = bh |
| Area of Parallelogram Theorem | The area of a parallelogram is the product of a base and its corresponding height, or |
| Area of a Triangle Theorem | The area of a triangle is half the product of a base and its corresponding height |
| Area of a Trapezoid Theorem | The area of a trapezoid is half the product of the height and the sum of the bases |
| Theorem 11.5 - If the diagonals of a quadrilateral are ... | If the diagonals of a quadrilateral are perpendicular, then the area of the quadrilateral is half the product of the lengths of the diagonals |
| Area of an Equilateral Triangle Theorem | The area of an equilateral triangle is one-fourth the square of the length of the side times the square root of 3 |
| Area of an Polygon Theorem | The area of a regular polygon is half the product of the apothem , a, and the perimeter, P |
| Circumference of a Circle Theorem | Thus, the circumference of a circle is or . |
| Arc Length Corollary | In a circle, the ratio of the length given to arc AB to the circumference is equal to the ratio of the measure of the arc to 360 |
| Area of a Circle Theorem | The area of a circle is times the square of the radius |
| Sector | a sector of a circle is the region bounded by two radii of the circle and their intercepted arc |
| Area of a Sector Theorem | The ratio of the area, A, of a sector to the area of its circle is equal to the ratio of the measure of the intercepted arc to 360 |
| Segment | the segment of a circle is a region bounded by a chord and its intercepted arc |
