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Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

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Page 1: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Quadrilaterals

Geometry

Mr. Zampetti

Unit 3, Day 4

Page 2: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4
Page 3: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Vocabulary

• Quadrilateral: A polygon with 4 sides.

• Consecutive angles: Two angles whose vertices are endpoints of a side.

• Opposite angles: Two angles that are not consecutive angles.

A B

D C

Page 4: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Parallelogram

• Characteristics of a parallelogram:

Opposite sides are parallel.

Opposite sides are congruent.

Opposite angles are congruent.

Consecutive angles are supplements.Diagonals bisect each other.

Page 5: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Rectangle

• A parallelogram with four right angles.

The diagonals of a rectangle are congruent.

Page 6: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Rhombus

• A parallelogram in which all sides are of equal length.

The diagonals of a rhombus are perpendicular to each other.

The diagonals of a rhombus bisect its angles.

Page 7: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Square

• A rectangle in which all sides are of equal length.

Page 8: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Trapezoid

• What is a trapezoid?

• A quadrilateral in which only one pair of opposite sides are parallel.

Page 9: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Isosceles Trapezoid

• A trapezoid in which the nonparallel sides are equal.

Page 10: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Kite

• A kite is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.

http://craftapple.files.wordpress.com/2007/08/kite-2.jpg http://www.mathwarehouse.com/geometry/quadrilaterals/images/kites/kite_picture.jpg

Page 11: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Quadrilateral Relationships

Quadrilaterals

Parallelograms

Rectangles Rhombus

Squares

Trapezoids

Isosceles Trapezoids

Kite

http://www.quia.com/pop/36149.html

Page 12: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4
Page 13: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4

Homework

Work Packet:

Quadrilaterals

Page 14: Quadrilaterals Geometry Mr. Zampetti Unit 3, Day 4