geometry
DESCRIPTION
Geometry. 6.4 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. - PowerPoint PPT PresentationTRANSCRIPT
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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