6.4 Rectangles. Characteristics of a rectangle:  Both sets of opp. Sides are congruent and parallel  Both sets opp. angles are congruent  Diagonals.

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Presentation transcript:

6.4 Rectangles

Characteristics of a rectangle:  Both sets of opp. Sides are congruent and parallel  Both sets opp. angles are congruent  Diagonals bisect each other  Diagonals split it into 2 congruent triangles  Consecutive angles are supplementary  If one angle is a right angle then all 4 are right angles In a rectangle the diagonals are congruent. If diagonals of a parallelogram are congruent, then it is a rectangle.

Quadrilateral EFGH is a rectangle. If GH = 6 feet and FH = 15 feet, find GJ.

Quadrilateral RSTU is a rectangle. If m  RTU = 8x + 4 and m  SUR = 3x – 2, find x.

Quadrilateral EFGH is a rectangle. If m  FGE = 6x – 5 and m  HFE = 4x – 5, find x.

Quadrilateral JKLM has vertices J(–2, 3), K(1, 4), L(3, –2), and M(0, –3). Determine whether JKLM is a rectangle using the Distance Formula.