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Transcript
Advanced Geometry
Introduction to Area and Perimeter
Name: _________________________________
Perimeter:
The distance around a closed plane figure.
Area:
The number of non-overlapping unit squares that will exactly cover the inside of a closed
plane figure. (It does not need to be a whole number.)
"Sum of Areas" Postulate:
(Simple idea used a lot)
►
Item #1:
If a figure is formed by two non-overlapping regions A and B, then the area
of the overall figure is simply the area of A added to the area of B.
Rectangles
Perimeter =
Area =
**Assume all angles appearing to be right angles are right angles.
[EX 1]
Perimeter =
_________
Area =
_________
Perimeter =
_________
Area =
_________
[EX 2]
►
Item #2:
Triangles
Area =
[EX 1]
[EX 2]
[EX 3]
Perimeter
= __________________
Area
= __________________
Perimeter
= __________________
Area
= __________________
Perimeter
= __________________
Area
= __________________
►
Item #3:
Parallelograms
Area =
[EX 1]
What is the area and perimeter
of the parallelogram below?
(EXACT answers please)
[EX 3]
What is the area and perimeter
of the parallelogram below
(EXACT answers please.)
[EX 2]
[EX 4]
What is the area and perimeter
of the parallelogram below
(EXACT answers please.)
What is the area and perimeter
of the parallelogram below
(EXACT answers please.)
►
Item #4:
Trapezoids
Area of Trapezoid =
** Let b2 = x + b1 + y
[EX 1]
[EX 2]
[EX 3]
[EX 4]
►
Item #5:
Kites
** Diagonals of kites
1.) One bisects the other (but not both)
2.) Intersect to form right angles
3.) Bisect the angles of the kite
Area =
[EX 1]
Find the EXACT
area of the kite below.
[EX 2]
[EX 3]
Find the EXACT area of the kite below.
Find the EXACT area of the kite below.
►
Item #6:
Rhombuses
** Diagonals of rhombuses
1.) Bisect each other
2.) Intersect to form right angles
3.) Bisect the angles of the rhombus
Area =
[EX 1]
Find the area of the rhombus with
diagonals of length 18 and 12
respectively.
[EX 2]
Find the area of the rhombus
below.
[EX 3]
Find the area of the rhombus
pictured below.
[EX 4]
Find the area of the rhombus
pictured below.