Area of Polygons and Circles

Area of Polygons and Circles - Transcript

Areas of Parallelograms
SKILLS
Find perimeters and areas of parallelograms
Determine whether points on a coordinate plane define a parallelogram
VOCABULARY
KEY CONCEPTS
Determination of the area of parallelogram by multiplying the base by the height
Determination of areas of parallelograms in the coordinate plane using the properties of quadrilaterals the slope formula and the distance formula
Given the coordinates of the vertices of a quadrilateral identify the type of quadrilateral and find its area
ORGANIZE IT FOLDABLE

11 2 Areas of Triangles Trapezoids and Rhombii
SKILLS
Find areas of triangles
Find areas of trapezoids and rhombi
VOCABULARY
KEY CONCEPTS
Determination of the area of a triangle including the area of a triangle in the coordinate plane
Determination of the area of a trapezoid including the area of a trapezoid in the coordinate plane
Determination of the area of a rhombus including the area of a rhombus in the coordinate plane
The formula for the area of a triangle can be used to find the areas of many different figures
Postulate 11 1 Congruent figures have equal areas
ORGANIZE IT FOLDABLE

SKILLS
Find areas of regular polygons
Find areas of circles
VOCABULARY
Apothem
KEY CONCEPTS
A regular n gon is made up of n congruent isosceles triangles
Determination of areas of regular polygons

Determination of areas of inscribed polygons
ORGANIZE IT FOLDABLE

11 4 Areas of Irregular Figures
SKILLS
Find areas of irregular figures
Find areas of irregular figures on the coordinate plane
VOCABULARY
Irregular figure
Irregular polygon
KEY CONCEPTS
Postulate 11 2 The area of a region is the sum of all of its nonoverlapping parts
Determine the areas of irregular figures on the coordinate plane
ORGANIZE IT FOLDABLE
11 5 Geometric Probability
SKILLS
Solve problems involving geometric probabilities
Solve problems involving sectors and segments of circles
VOCABULARY
Geometric probability
Sector
Segment
KEY CONCEPTS
Determination of the geometric probability by dividing the area of a part of a figure by the total area
Determination of the area of a sector
Determination of the area of a segment of a circle
ORGANIZE IT FOLDABLE
Mrs Stephanie Smith Revised September 2007
Page PAGE 5 of NUMPAGES 5