EXAMPLE 3 List properties of special parallelograms

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Presentation transcript:

EXAMPLE 3 List properties of special parallelograms Sketch rectangle ABCD. List everything that you know about it. SOLUTION By definition, you need to draw a figure with the following properties: • The figure is a parallelogram. • The figure has four right angles. Because ABCD is a parallelogram, it also has these properties:

EXAMPLE 3 List properties of special parallelograms • Opposite sides are parallel and congruent. • Opposite angles are congruent. Consecutive angles are supplementary. • Diagonals bisect each other. By Theorem 8.13, the diagonals of ABCD are congruent.

GUIDED PRACTICE for Example 3 3. Sketch square PQRS. List everything you know about the square. ANSWER 1. Opposite sides parallel, 2. all sides are congruent, 3. all angles are right angles and congruent 4. the diagonals are congruent and perpendicular, 5. the diagonals bisect each other, 6. each diagonals bisects a pair of opposite angles.