Triangles, Trapezoids & Kites

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Presentation transcript:

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

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

Triangle Area Conjecture Create 2 congruent triangles by: Fold paper in half Cut out a triangle along one of the open sides. Label the triangles as shown. Rearrange to the two triangles to create shape we know the area of. What is the area of one triangle? b d s h d b 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.

Trapezoid Area Conjecture Create 2 congruent trapezoids by: Fold paper in half Cut out a trapezoid along one of the open sides Label the trapezoids as shown Rearrange to the two triangles to create shape we know the area of. What is the area of one trapezoid? b1 b2 s h b2 b1 Trapezoid Area Conjecture The area of a trapezoid is given by the formula ________________, where A is the area, b1 and b2 are the lengths of the two bases, and h is the height of the trapezoid.

How can I find the area of a kite? Kite Area Conjecture The area of a kite is given by the formula _____________, where d1 and d2 are the lengths of the diagonals

Examples Find the area of each 9 4 3 3 8 2 1 4 Pg 418 #1-15, 20, 23-26