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Understanding Rectangles: Properties and Theorems

Learn about rectangles, a type of parallelogram with 4 right angles. Discover their properties, such as parallel and congruent sides, congruent opposite angles, and more. Practice using the distance formula to determine if a given quadrilateral is a rectangle.

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Understanding Rectangles: Properties and Theorems

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  1. Geometry 6.4 Rectangles

  2. 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.

  3. Theorem 6.13: Diagonals of a Rectangle • If a parallelogram is a rectangle, then its diagonals are congruent. • The converse is true.

  4. Example 1 Quadrilateral STRU is a rectangle. S T R U

  5. Example 2 • 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.

  6. Homework • Page 422: 1-19 all, 26-31 all, 39-41

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