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

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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 8 x y

x = 8 y = 10

The opposite angles of a parallelogram are __________.

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

The diagonals of a parallelogram __________________________.

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

The diagonals of a rhombus are __________ and ___________.

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

The diagonals of a rectangle are __________________.

The diagonals of a rectangle are congruent: LN 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 (x 1, y 1 ) B (x 2, y 2 ) M ( _____, _____ )

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

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

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

What 3 shapes in Geometry have “legs”?

Right TriangleIsosceles Triangle Trapezoid

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

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