Trapezoid

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# PP Presentation - PowerPoint PPT Presentation

Special Notes! The length of the mid-segment is the average of the lengths of the parallel sides. Trapezoid. Definition: A quadrilateral with a pair of parallel sides. Definition: A quadrilateral opposites sides parallel. Parallelogram. Special Notes! Adjacent angles are supplementary.

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Presentation Transcript

Special Notes!

• The length of the mid-segment is the average of the lengths of the parallel sides.

### Trapezoid

Definition: A quadrilateral with a pair of parallel sides.

Definition: A quadrilateral opposites sides parallel.

### Parallelogram

• Special Notes!
• Opposite sides are congruent.
• Opposite angles are congruent.
• Diagonals bisect each other.

### Isosceles Trapezoid

Definition: A quadrilateral with two parallel sides (called bases) whose non parallel sides are congruent.

• Special Notes!
• Length of mid-segment is the average of the bases.

### Rhombus

• Special Notes!
• Opposite sides are parallel.
• All of the properties of a parallelogram hold! 
• Diagonals are perpendicular.

Definition: A quadrilateral with four congruent sides.

### Rectangle

• Special Notes!
• All the angles are right-angles.
• All the properties of a parallelogram hold.

Definition: A parallelogram with one right angle.

Special Notes!

• Angles between congruent sides are called vertex angles.
• Angle between non-congruent sides are called non-vertex angles.
• Diagonals are perpendicular.
• The diagonal between non-vertex angles is bisected by the diagonal between vertex angles.

### Kite

NON-VERTEX ANGLES

VERTEX ANGLES

Definition: A rhombus that is a rectangle.

### Square

• Special Notes!
• Life\'s most perfect shape.
• All the properties of a parallelogram hold.
• Diagonals are perpendicular.
• A square is also a trapezoid.
• A square is also a parallelogram.
• A square is also a rhombus.
• A square is also a rectangle.
• A square is also a kite.