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Honors Geometry Chapter 11
Areas of Plane Figures
12
Mathematics
9th Grade
03/05/2012

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Cards

Term

Postulate

the area of a square...

Definition

Postulate

...the area of a square is the square of the length of a side

(A=s2)

Term
Area Congruence Postulate
Definition
if two figures are congruent, then they have the same area
Term
Area Addition Postulate
Definition
the area of the areas of it's non-overlapping parts
Term
Base of a Polygon
Definition
any side of a rectangle or other parallelogram
Term
Altitude of a Polygon
Definition
any segment perpendicular to the line containing (of) a base from any point on the opposite side
Term
Height of a Polygon
Definition
length of an altitude
Term
Area of a Rectangle Theorem
Definition

The area of a rectangle equals the product of its base and height

(A=bh)

Term
Area of a Parallelogram Theorem
Definition

the area of a parallelogram is the product of a base it's corresponding height

(A=bh)

also, (h1xb1=h2xb2)

 

*height has to be perpendicular to the base (it can be outside the outlined shape).  bh=A because if you divided a parallelogram in two, broke it apart, and put it on the opposite side of it's other half, the parallelogram would be a rectangle

Term
Base of a Parallelogram
Definition
any of its sides
Term
Altitude of a Parallelogram
Definition
a segment perpendicular to the line containing the base drawn to the side opposite the base
Term
Area of a Triangle Theorem
Definition

the area of a triangle is half the product of a base and the corresponding height

A=1/2(bh)

Term
Area of a Rhombus or Kite Theorem
Definition

the area of a rhombus or a kite is half the product of the lengths of its diagonals

A=1/2(d1xd2)

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