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Parallelograms Parallelograms Rectangles Rectangles Rhombi Rhombi Squares Squares Trapezoids Trapezoids Kites Kites

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Page 1: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites
Page 2: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

Parallelograms

Rectangles

Rhombi

Squares

Trapezoids

Kites

Page 3: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

A

D

B

C

Definition: Opposite Sides are parallel.

BC ll AD CD llAB

Page 4: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

A

D

B

C

CDAB BCAD

Opposite sides are congruent.

Page 5: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

A

D

B

C

CA

Opposite angles are congruent.

DB

Page 6: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

A

D

B

C

Diagonals bisect each other.

M

DMBM MCAM

Page 7: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

A

D

B

C

180AmDm180DmCm

180CmBm180BmAm

Consecutive Angles are supplementary.

Page 8: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

A

D

B

C

BC ll ADCD llAB

CDAB BCAD

BCDDAB CDAABC

M

DMBM MCAM

180AmDm180DmCm

180CmBm180BmAm

Page 9: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

A

D

B

C

Definition: Parallelogram withFour right angles.

BD AC MDMBMCMA

Diagonals are congruent.

M

Page 10: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

A

D

B

C

1Definition:

Parallelogram withFour congruent sides.

BD AC

Diagonals are perpendicular.

M

Diagonals bisect opposite angles.

2 34

567

8

6521 8743

Page 11: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

A

D

B

C

Definition: It’s a Rectangle RhombusM Rectangle & a Rhombus

Page 12: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

Definition: Quadrilateral with exactly one pair of

parallel sides.

Bases are parallel.

A

D

B

C

CD llAB

ary.supplement are angles Leglegs. are BC&AD

A & D are supp. and B & C are supp.

Page 13: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

Midsegment: Segment that joins the midpoints of the legs

of a trapezoid.

XY is the midsegment.

CD llAB llXY

A

D

B

C

Midsegment is ll to bases and ½ measure of the sum of bases.

X Y

DCAB2

1XY

Page 14: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

Definition: Trapezoid that has

congruent legs.

Legs are congruent.

BC AD

A

D

B

C

A B and D C.

Each pair of Base angles are congruent.

Diagonals are congruent: BDAC

Page 15: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

Definition: Quadrilateral that hasTwo pair of congruent Adjacent sides and no

opposite sides congruent.

BD AC

Diagonals

are .

B

C

D

A

One pair of opposite Angles are congruent.

ABCADC

Page 16: Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

B

C

D

A

One diagonal bisects

the other.

Pythagorean Theorem is often used to find

measures.