1. Module 15: Lesson 7 Conditions for Rectangles, Rhombi, and Squares
Characteristics of a Rectangles
If a rectangle, then all 4 interior angles are right angles (Definition of a Rectangle)
If a rectangle, then diagonals are congruent.
If a rectangle, then both pairs of opposite sides are parallel.
If a rectangle, then both pairs of opposite sides congruent.
If a rectangle, then diagonals bisect each other.
If a rectangle, then both pairs of opposite angles are congruent.
If a rectangle, then consecutive angles are supplementary. C

2. Characteristics of a Rhombus
If a rhombus, then all 4 sides are congruent (Definition of a Rhombus).
If a rhombus, then diagonals bisect both pairs of opposite angles.
If a rhombus, then diagonals intersect perpendicularly.
If a rhombus, then both pairs of opposite sides are parallel.
If a rhombus, then both pairs of opposite sides congruent.
If a rhombus, then diagonals bisect each other.
If a rhombus, then both pairs of opposite angles are congruent.
If a rhombus, then consecutive angles are supplementary.

3. Characteristics of a Square
If a square, then all 4 sides are congruent.
If a square, then diagonals bisect both pairs of opposite angles.
If a square, then diagonals intersect perpendicularly.
If a square, then all 4 interior angles are right angles.
If a square, then diagonals are congruent.
If a square, then both pairs of opposite sides are parallel.
If a square, then both pairs of opposite sides congruent.
If a square, then diagonals bisect each other.
If a square, then both pairs of opposite angles are congruent.
If a square, then consecutive angles are supplementary.

4. Conditions for a Rectangle Conditions for a Rhombus
If one angle of a parallelogram is a right angle, then the parallelogram is a rectangle.
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
Conditions for a Rhombus
If one pair of consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus.
2) If the diagonals of a parallelogram intersect perpendicularly, then the parallelogram is a rhombus.
3) If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus.
Conditions for a Square
If both a rectangle and a rhombus, then the parallelogram is a square.

5. X Parallelogram Rectangle Rhombus Square
Both Pairs of Opposite sides are parallel X
Both Pairs of Opposite sides are congruent
Diagonals Bisect each other
Both Pairs of Opposite angles are congruent
Consecutive angles are supplementary
All 4 angles are right angles
Both diagonals are congruent
All 4 sides are congruent
Diagonals intersect perpendicularly
Both pairs of diagonals bisect opposite angles

6. Homework pages 808-810 #’s 1, 3-18 (all)