Geometry6.4

Rectangles

Rectangle – a parallelogram with 4 right angles.

Opposite sides are parallel and congruent.

Opposite angles are congruent. Consecutive angles are supplementary. Diagonals bisect each other.

Theorem 6.13: Diagonals of a Rectangle

If a parallelogram is a rectangle, then its diagonals are congruent.

The converse is true.

Example 1

S

R U

T

Quadrilateral STRU is a rectangle.

Example 2

Example 3 Quadrilateral JKLM has vertices

J(-2,3),K(1,4), L(3,-2), and M(0, -3). Determine whether JKLM is a rectangle by using the distance formula.

Homework

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