MN O P M’N’ O’ P’ SAME PLANE R D k.

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Presentation transcript:

MN O P M’N’ O’ P’

SAME PLANE

R D k

The diagonals of a rhombus bisects the angles Consecutive angles of a rhombus are supplementary

C B A

m P

A C B x y B’ C’ A’

X X X

StatementReason 1. Given 4. Perpendicular segments form right angles 2. Given 3. Given 5. All right angles are congruent 6. Two adjacent angles that form a straight line are a linear pair 7. Linear pairs are supplementary 8. Supplements of congruent angles are congruent.

x y Since all four sides are congruent, quadrilateral MATH is a rhombus. Since the slopes of consecutive sides are not negative reciprocals, they are not perpendicular and do not form a right angle. Therefore, MATH is not a square.