CONFIDENTIAL1 Geometry Developing Formulas for Triangles and Quadrilaterals.
Geometry 7.1 Area of Triangles and Quadrilaterals.
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Transcript of Geometry 7.1 Area of Triangles and Quadrilaterals.
April 18, 2023MA 08 Geometry 7.1 Areas of Triangles and
Quadrilaterals
Goals:
Find the area of triangles, parallelograms, rectangles, squares, and trapezoids.
April 18, 2023MA 08 Geometry 7.1 Areas of Triangles and
Quadrilaterals
Area
The measure of part of a plane surface.
Measured in square units. 10 square inches can be written 10
in2.
April 18, 2023MA 08 Geometry 7.1 Areas of Triangles and
Quadrilaterals
Area of Parallelogram
h
b
A bh
April 18, 2023MA 08 Geometry 7.1 Areas of Triangles and
Quadrilaterals
Area of Parallelogram
b
h
L
W
April 18, 2023MA 08 Geometry 7.1 Areas of Triangles and
Quadrilaterals
Area of a Triangle
h
b
12
A bh
Why does this work?
April 18, 2023MA 08 Geometry 7.1 Areas of Triangles and
Quadrilaterals
Area of a Triangle
h
b
Make a congruent triangle.
April 18, 2023MA 08 Geometry 7.1 Areas of Triangles and
Quadrilaterals
Area of a Triangle
h
b
Rotate it 180.
April 18, 2023MA 08 Geometry 7.1 Areas of Triangles and
Quadrilaterals
Area of a Triangle
h
bSlide them together.
April 18, 2023MA 08 Geometry 7.1 Areas of Triangles and
Quadrilaterals
Area of a Triangle
h
b
This is just a parallelogram.
The triangle is 1/ 2 of this.
April 18, 2023MA 08 Geometry 7.1 Areas of Triangles and
Quadrilaterals
Which triangle has the largest area?
A B C
They all have the same area: equal bases and equal heights.