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Chapter 8 Section 8.1-8.2. Areas of Rectangles and Parallelograms Areas of Triangles, Trapezoids and Kites. Rectangles. On your grid paper, draw a rectangle and tell me what the area is. How do we label our answers? What is the easy way to remember how to find the area of a rectangle?
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Chapter 8Section 8.1-8.2 Areas of Rectangles and ParallelogramsAreas of Triangles, Trapezoids and Kites
Rectangles • On your grid paper, draw a rectangle and tell me what the area is. • How do we label our answers? • What is the easy way to remember how to find the area of a rectangle? • Square?
Rectangle Area conjecture • The area of a rectangle is given by the formula ___________________, where A is the area, b is the base and h is the height. 12 in 19 in
Parallelograms ≟ Rectangles • Given a parallelogram with dimensions and height, see if you can cut your parallelogram into pieces to figure out what the area is? • Hint: think rectangles! • Parallelogram Area Conjecture: The area of a parallelogram is given by ________________, where A is the area, b is the base, and h is the height. • Common mistakes?
Triangles • See if you can cut and arrange your two congruent triangles to form a parallelogram. • The area of a triangle is given by the formula __________________, where A is the area, b is the base and h is the height of the triangle. • How is it like parallelograms?
Trapezoids • See if you can cut and arrange your two congruent trapezoidsto form a parallelogram. • The area of a trapezoid is given by the formula _________________, where A is the area, b1 and b2 are the lengths of the bases, and h is the height of the trapezoid.
Kites & Rhombi • A rhombus is a ____________________, so we can use the parallelogram formula: __________. • We can also use a kite formula for a rhombus. This formula is _________________, where d1 and d2 are the diagonals.