Proving a quadrilateral is a RHOMBUS

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Presentation transcript:

Proving a quadrilateral is a RHOMBUS Using coordinate geometry…

To prove a quad. is a Rhombus: Use the slope formula a total of 6 times to show that 1) BOTH pairs of opposite sides are parallel (4) (have the same slope) AND 2) BOTH diagonals are perpendicular (2)(have negative reciprocal slopes) Concluding statement: Quad. is a rhombus bc both pairs of opposite sides are parallel and diagonals are perpendicular

OR – ANOTHER WAY IS Use the distance formula 4 times to show that all sides have the same length (they are congruent). Concluding statement: It’s rhombus bc all sides congruent.