6.4 rhombus, rectangles and squares

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6.4 Rhombus, 6.4 Rhombus, Rectangles and Squares Rectangles and Squares

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Special Parallelograms Rhombus- all sides are congruent Rectangle – all interior angles are Right angles Square – All angles are Right and all sides congruent

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Page 1: 6.4 Rhombus, Rectangles and Squares

6.4 Rhombus, Rectangles 6.4 Rhombus, Rectangles and Squaresand Squares

Page 2: 6.4 Rhombus, Rectangles and Squares

Special Parallelograms

Rhombus- all sides are congruent

Rectangle – all interior angles are Right angles

Square – All angles are Right and all sides congruent

Page 3: 6.4 Rhombus, Rectangles and Squares

Theorem

In a Rhombus the diagonals are perpendicular.

Page 4: 6.4 Rhombus, Rectangles and Squares

Theorem

In a Rhombus, opposite angles are bisected by the diagonal touching both opposite angles.

BCEDCEBAEADECBEABECDEADE

Page 5: 6.4 Rhombus, Rectangles and Squares

Theorem

In a Rectangle diagonals are congruent.

BDAC

Page 6: 6.4 Rhombus, Rectangles and Squares

Answers are Always, Sometimes or Never

#1. A Rectangle is a Square.

#2. A square is a Rhombus

Page 7: 6.4 Rhombus, Rectangles and Squares

EFGH is a Rectangle

K is the midpoint of FH. EG = 8z – 16Find EK

E F

GH

K

Page 8: 6.4 Rhombus, Rectangles and Squares

Some QuestionsWhat is another name for an equilateral quadrilateral?

Which quadrilaterals have the given property

All sides are congruent?

All angles are congruent?

The diagonals are congruent?

Opposite angles are congruent?

Page 9: 6.4 Rhombus, Rectangles and Squares

Some QuestionsWhat is another name for an equilateral quadrilateral?

Which quadrilaterals have the given property

All sides are congruent?

All angles are congruent?

The diagonals are congruent?

Opposite angles are congruent?

Page 10: 6.4 Rhombus, Rectangles and Squares

Some QuestionsWhat is another name for an equilateral quadrilateral?

Which quadrilaterals have the given property

All sides are congruent?

All angles are congruent?

The diagonals are congruent?

Opposite angles are congruent?

Page 11: 6.4 Rhombus, Rectangles and Squares

Some QuestionsWhat is another name for an equilateral quadrilateral?

Which quadrilaterals have the given property

All sides are congruent?

All angles are congruent?

The diagonals are congruent?

Opposite angles are congruent?

Page 12: 6.4 Rhombus, Rectangles and Squares

Some QuestionsWhat is another name for an equilateral quadrilateral?

Which quadrilaterals have the given property

All sides are congruent?

All angles are congruent?

The diagonals are congruent?

Opposite angles are congruent?

Page 13: 6.4 Rhombus, Rectangles and Squares

Some QuestionsWhat is another name for an equilateral quadrilateral?

Which quadrilaterals have the given property

All sides are congruent?

All angles are congruent?

The diagonals are congruent?

Opposite angles are congruent?

Page 14: 6.4 Rhombus, Rectangles and Squares

Homework Homework Page 351 – 352 Page 351 – 352 ##12 – 43,12 – 43,

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