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Triangles, Trapezoids & Kites Objective: Derive and use area formulas for triangles, trapezoids & kites.

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Presentation on theme: "Triangles, Trapezoids & Kites Objective: Derive and use area formulas for triangles, trapezoids & kites."— Presentation transcript:

1 Triangles, Trapezoids & Kites Objective: Derive and use area formulas for triangles, trapezoids & kites

2 Review Terms & Formulas Area Base Height Parallelogram Area Conjecture Rectangle Area Conjecture A=bh

3 1.Create 2 congruent triangles by: Fold paper in half Cut out a triangle along one of the open sides. 2.Label the triangles as shown. 3.Rearrange to the two triangles to create shape we know the area of. 4.What is the area of one triangle? Triangle Area Conjecture The area of a triangle is given by the formula _________, where A is the area, b is the length of the base, and h is the height of the triangle. b s d hb d

4 1.Create 2 congruent trapezoids by: Fold paper in half Cut out a trapezoid along one of the open sides 2.Label the trapezoids as shown 3.Rearrange to the two triangles to create shape we know the area of. 4.What is the area of one trapezoid? b1b1 b2b2 hs b2b2 b1b1 Trapezoid Area Conjecture The area of a trapezoid is given by the formula ________________, where A is the area, b 1 and b 2 are the lengths of the two bases, and h is the height of the trapezoid.

5 Kite Area Conjecture The area of a kite is given by the formula _____________, where d 1 and d 2 are the lengths of the diagonals How can I find the area of a kite?

6 Examples Find the area of each Pg 418 #1-15, 20,


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