Chapter 6+. The opposite sides of a parallelogram are __________ and __________.

Chapter 6+

The opposite sides of a parallelogram are __________

and __________

The opposite sides of a parallelogram are parallel

and congruent:

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Given the following parallelogram, find x and y:

10

8x

y

x = 8y = 10

The opposite angles of a parallelogram are __________.

The opposite angles of a parallelogram are congruent.

70 0

70 0110 0

110 0

The diagonals of a parallelogram __________________________.

The diagonals of a parallelogram bisect each other:

12

128

8

The diagonals of a rhombus are __________ and ___________.

The diagonals of a rhombus are perpendicular and

bisect opposite angles:

3030

6060

3030

6060

The diagonals of a rectangle are __________________.

The diagonals of a rectangle are congruent:

L N

HS

LH = NS

Name the sides of the following trapezoid:

1

2

3

4

1- leg 2- base 3- leg 4- base

The __________ of a trapezoid connects the midpoints of the legs

The midsegment of a trapezoid connects the midpoints of the legs:

Find the length of the midsegment:

10

20

Midsegment = ½ (10 + 20) = 15

Midpoint Formula:

A (x1 , y1)

B (x2 , y2)

M ( _____ , _____ )

x1 + x2 y1 + y2

2 2,Midpoint =

average

Find LN:

L ( x1 , y1 )

N ( x2 , y2 )

LN = (x1 – x2)2 + (y1 – y2)2

(Distance Formula)

What 3 shapes in Geometry have “legs”?

Right Triangle Isosceles Triangle Trapezoid

Name each shape:

Quadrilateral

Name each shape:

Quadrilateral

Kite

Rectangle

Parallelogram

Trapezoid

Rhombus

Square

Always, sometimes or never?

A rhombus is _______ a square.

A rectangle is _______ a parallelogram.

A parallelogram is _______ a trapezoid.

A rhombus is sometimes a square.

A rectangle is always a parallelogram.

A parallelogram is never a trapezoid.

Name the following segment:

midsegment

Find x:

10

x

x = 5