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Geometry 7.1 Area of Triangles and Quadrilaterals
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Geometry 7.1 Area of Triangles and Quadrilaterals Slide 2 December 2, 2015 MA 08 Geometry 7.1 Areas of Triangles and Quadrilaterals Goals: Find the area of triangles, parallelograms, rectangles, squares, and trapezoids. Slide 3 December 2, 2015 MA 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 in 2. Slide 4 December 2, 2015 MA 08 Geometry 7.1 Areas of Triangles and Quadrilaterals Slide 5 December 2, 2015 MA 08 Geometry 7.1 Areas of Triangles and Quadrilaterals Area of a Square s s Slide 6 December 2, 2015 MA 08 Geometry 7.1 Areas of Triangles and Quadrilaterals Area of a rectangle L W Slide 7 December 2, 2015 MA 08 Geometry 7.1 Areas of Triangles and Quadrilaterals Area of Parallelogram h b Slide 8 December 2, 2015 MA 08 Geometry 7.1 Areas of Triangles and Quadrilaterals Area of Parallelogram b h L W Slide 9 December 2, 2015 MA 08 Geometry 7.1 Areas of Triangles and Quadrilaterals Area of a Triangle h b Why does this work? Slide 10 December 2, 2015 MA 08 Geometry 7.1 Areas of Triangles and Quadrilaterals Area of a Triangle h b Make a congruent triangle. Slide 11 December 2, 2015 MA 08 Geometry 7.1 Areas of Triangles and Quadrilaterals Area of a Triangle h b Rotate it 180 . Slide 12 December 2, 2015 MA 08 Geometry 7.1 Areas of Triangles and Quadrilaterals Area of a Triangle h b Slide them together. Slide 13 December 2, 2015 MA 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. Slide 14 December 2, 2015 MA 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. Slide 15 December 2, 2015 MA 08 Geometry 7.1 Areas of Triangles and Quadrilaterals Area of a Trapezoid b1b1 b2b2 h