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QUADRILATERALS(FOUR SIDED POLYGON)

RECTANGLE

PARALLELOGRAM

RHOMBUS

ISOSCELESTRAPEZOID

SQUARE

TRAPEZOID

STANDARD 7

CLASSIFICATIONOF

QUADRILATERAS

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1. Two pairs of parallel sides.

2. Two pairs of congruent sides.

3. Diagonals bisect each other

4. Opposite angles are congruent.

A

D

B

C

PARALLELOGRAM

5. Consecutive angles are supplementary.

m B m C+ = 180°

m A m B+ = 180°m B

A BA BB

C

B

C

m C m D+ = 180°

D CD C

m D m A+ = 180°

A

D

A

D

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PARALLELOGRAM

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

STANDARD 7

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1. Two pairs of parallel sides.

2. Two pairs of congruent sides.

5. Diagonals bisect each other

6. Opposite angles are congruent.

7. Consecutive angles are supplementary.

m A m B+ = 180°

m B m C+ = 180°

m C m D+ = 180°

m D m A+ = 180°

A

D

B

C 4. Diagonals are congruent

3. All angles are right.

RECTANGLE

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RECTANGLE

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

6. DIAGONALS ARE CONGRUENT

7. FOUR RIGHT ANGLES

STANDARD 7

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1. Two pairs of parallel sides.

2. All sides are congruent.

5. Diagonals bisect each other

7. Opposite angles are congruent.

8. Consecutive angles are supplementary.

m A m B+ = 180°

m B m C+ = 180°

m C m D+ = 180°

m D m A+ = 180°

A

D

B

C

4. Diagonals are congruent

3. All angles are right.

6. Diagonals form a right angle

SQUARE

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SQUARE

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

6. DIAGONALS ARE CONGRUENT

7. FOUR RIGHT ANGLES

8. FOUR CONGRUENT SIDES

9. DIAGONALS FORM A RIGHT ANGLE

10. DIAGONALS BISECT ANGLES

STANDARD 7

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1. Two pairs of parallel sides.

2. All sides are congruent.

4. Diagonals bisect each other

6. Opposite angles are congruent and bisected

by diagonals.

7. Consecutive angles are supplementary.

m A m B+ = 180°

m B m C+ = 180°

m C m D+ = 180°

m D m A+ = 180°

A

D B

C

3. Diagonals are NOT congruent

5. Diagonals form a right angle

RHOMBUS

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RHOMBUS

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

6. DIAGONALS ARE NOT CONGRUENT

7. TWO PAIRS OF CONGRUENT NON-RIGHT ANGLES

8. FOUR CONGRUENT SIDES

9. DIAGONALS FORM A RIGHT ANGLE

10. DIAGONALS BISECT ANGLES

STANDARD 7

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1. Exactly one pair of parallel sides.

2. One pair of congruent sides.

4. Diagonals DO NOT bisect each other

5. Base angles are congruent.

6. Opposite angles are supplementary.

m A m C+ = 180°

m B m D+ = 180°

AD

BC

3. Diagonals are congruent

ISOSCELES TRAPEZOID

7. Line connecting midpoints of congruent sides is called MEDIAN.

M

b1

b 2

b1

b 2and are bases of trapezoid

M is the medianMb

1 b 2

2=

+

M = b1 b 2+

12

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Mb

1 b 2

2=

+

M = b1 b 2+

12

1. Exactly one pair of parallel sides.

TRAPEZOID

2. Line connecting midpoints of non-congruent sides is called MEDIAN.

b1

b 2and are bases of trapezoid

M is the median

M

b1

b 2

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ISOSCELES TRAPEZOID

1. EXACTLY ONE PAIR OF PARALLEL SIDES

2. TWO CONGRUENT SIDES CALLED LEGS

3. TWO CONGRUENT DIAGONALS

4. TWO CONGRUENT BASE ANGLES

5. CONSECUTIVE ANGLES IN CONGRUENT LEGS ARE SUPPLEMENTARY.

TRAPEZOID

1. EXACTLY ONE PAIR OF PARALLEL SIDES

STANDARD 7

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PARALLELOGRAM

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

RECTANGLE

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

6. DIAGONALS ARE CONGRUENT

7. FOUR RIGHT ANGLES

SQUARE

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

6. DIAGONALS ARE CONGRUENT

7. FOUR RIGHT ANGLES

8. FOUR CONGRUENT SIDES

9. DIAGONALS FORM A RIGHT ANGLE

10. DIAGONALS BISECT ANGLES

RHOMBUS

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

6. DIAGONALS ARE NOT CONGRUENT

7. TWO PAIRS OF CONGRUENT NON-RIGHT ANGLES

8. FOUR CONGRUENT SIDES

9. DIAGONALS FORM A RIGHT ANGLE

10. DIAGONALS BISECT ANGLES

STANDARD 7

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PARALLELOGRAM

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

RECTANGLE

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

6. DIAGONALS ARE CONGRUENT

7. FOUR RIGHT ANGLES

SQUARE

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

6. DIAGONALS ARE CONGRUENT

7. FOUR RIGHT ANGLES

8. FOUR CONGRUENT SIDES

9. DIAGONALS FORM A RIGHT ANGLE

RHOMBUS

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

6. DIAGONALS ARE NOT CONGRUENT

7. TWO PAIRS OF CONGRUENT NON-RIGHT ANGLES

8. FOUR CONGRUENT SIDES

9. DIAGONALS FORM A RIGHT ANGLE

QUADRILATERALS STANDARD 7

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QUADRILATERALS

PARALLELOGRAMS

RECTANGLES SQUARES RHOMBI

STANDARD 7

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PARALLELOGRAM

1. TWO PAIRS OF CONGRUENT SIDES

2. TWO PAIRS OF PARALLEL SIDES

3. OPPOSITE ANGLES CONGRUENT

4. CONSECUTIVE ANGLES SUPPLEMENTARY

5. DIAGONALS INTERSECT AT MIDPOINT

ISOSCELES TRAPEZOID

1. EXACTLY ONE PAIR OF PARALLEL SIDES

2. TWO CONGRUENT SIDES CALLED LEGS

3. TWO CONGRUENT DIAGONALS

4. TWO CONGRUENT BASE ANGLES

5. CONSECUTIVE ANGLES IN CONGRUENT LEGS ARE SUPPLEMENTARY.

TRAPEZOID

1. EXACTLY ONE PAIR OF PARALLEL SIDES

STANDARD 7Do they share properties?

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QUADRILATERALS

PARALLELOGRAMS

RECTANGLES SQUARES RHOMBI

TRAPEZOIDS

STANDARD 7

PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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SPORTS

• BASKETBALL• FOOTBALL (SOCCER)• BASEBALL• GOLF

1. DO A VENN DIAGRAM (GRAPHIC ORGANIZER) WITH SIMILARITIES AND DIFFERENCES

2. WRITE AN ESSAY EXPLAINING THE DIAGRAM

•RUN

•JUMP

•THROW

•PITCH

•CATCH

•KICK

•HIT

•ROLL

•OTHERS????

HOMEWORK:

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ESSAY COMPONENTS:

• TITLE

• INTRODUCTION

• BODY WITH PARAGRAPHS

• CONCLUSION

PRESENTATION CREATED BY SIMON PEREZ. All rights reserved