What is the area formula for a trapezoid?

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Presentation transcript:

What is the area formula for a trapezoid? 5-2B Planning a Proof What is a rhombus? What is a trapezoid? What is the area formula for a trapezoid?

Definitions A rhombus is a quadrilateral with four congruent sides. (All rhombuses are parallelograms.) A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides are the bases of the trapezoid, and the nonparallel sides are its legs. base leg

Classify each quadrilateral as a square, rectangle, rhombus, parallelogram or trapezoid. rectangle, parallelogram trapezoid square, rectangle, rhombus, parallelogram trapezoid rhombus, parallelogram

Proof If a quadrilateral is a rhombus, then it is a parallelogram. Given: Quadrilateral ABCD is a rhombus Prove: ABCD is a parallelogram A B C D Statements Draw line AC Reasons Two pts determine line Def of Rhombus Reflexive SSS CPCTC Alt Int angle congruent, lines ||

Theorem The area of a trapezoid is the product of half the sum of the bases (b1 and b2) and the height (h).

Find the area of the trapezoid 9 4.5 5.5 5 cm 14 cm 2 6 8 37.125 47.5 cm2 30

What is a rhombus? A rhombus is a quadrilateral with four congruent sides. What is a trapezoid? A trapezoid is a quadrilateral with exactly one pair of parallel sides. What is the area formula for a trapezoid?

Assignment 5-2B Worksheet 5.2B