Chapter 11.1-11.3 Flashcards
Herons Formula
Sides of the triangle be (a, b, c) and let s (semi-perimeter) be as follows: s= 1/2(a+b+c) then the area of a triangle is as follows:
A= square root (s(s-a) (s-b) (s-c)
Perimeter
Some of the lengths of the sides of a polygon
Linear measurement
A one dimensional measurement (length, distance)
Area
The number of square units contained in the interior of a polygon
Area of a square
Area of a square is the square of the length of its side
A= s2
Area congruence postulate
If two polygons are congruent, then they have the same area
Area addition postulate
The area of a REGION is the sum of the areas of all it’s nonoverlapping parts
Area of a rectangle thm
The area of a rectangle is the product of its base and height
A=b•h
Area of a parallelogram thm
The area of a parallelogram is the product of a base and its corresponding height, or
A= b•h
Corresponding height
Length of the altitude drawn to the chosen base
Area of a triangle thm
The area of a triangle is half the product of a base and its corresponding height, or
A=1/2(b•h)
Area of a trapezoid thm
The area of a trapezoid is half the product of the height and the sum of the bases, or
A= 1/2 h (b1 + b2)
If the diagonals of a quadrilateral are perpendicular, then
Then the area of the quadrilateral is half the product of the length of the diagonals, or
A= 1/2 (d1) (d2)
Kite
A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent