Chapter 6 The opposite sides of a parallelogram

Chapter 6+

The opposite sides of a parallelogram are _____ and _____

The opposite sides of a parallelogram are parallel and congruent: > > >> >>

Given the following parallelogram, find x and y: 10 x 8 y

x=8 y = 10

The opposite angles of a parallelogram are _____.

The opposite angles of a parallelogram are congruent. 110 0 70 0 110 0

The diagonals of a parallelogram _____________.

The diagonals of a parallelogram bisect each other: 8 12 12 8

The diagonals of a rhombus are _____ and ______.

The diagonals of a rhombus are perpendicular and bisect opposite angles: 30 30 60 60 30 30

The diagonals of a rectangle are _________.

The diagonals of a rectangle are congruent: L N S H LH = NS

Name the sides of the following trapezoid: 2 1 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: B (x 2 , y 2) M ( _____ , _____ ) A (x 1 , y 1)

Midpoint = x 1 + x 2 , y 1 + y 2 2 2 average

Find LN: N ( x 2 , y 2 ) L ( x 1 , y 1 )

LN = (x 1 – 2 x 2) + (y 1 – y 2 (Distance Formula) 2 )

What 3 shapes in Geometry have “legs”?

Right Triangle Isosceles Triangle Trapezoid

Name each shape: Quadrilateral

Name each shape: Quadrilateral Trapezoid Kite Parallelogram Rectangle 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