Coordinate Proof with Parallelograms

Given the lengths of side of ABCD are

AB=7, BC=5, CD=7, DA=5,

then what can be determined

• Rectangle because two sides are longer than the other two

• Rectangle because opposite sides are congruent

• Parallelogram because opposite sides are parallel

• Parallelogram because opposite sides are congruent

Given the parallelogram MNOP and slopes of the sides

mMN= 2/3, mNO=3/2, mOP=2/3, mMP=3/2,

then what can be determined

• Rhombus because opposite sides are congruent

• Not a rhombus because all 4 sides are not congruent

• Not a rectangle because adjacent sides are not perpendicular

• Rectangle because two sides are longer than the other two

• Parallelogram because opposite sides are congruent, Rhombus because all congreunt sides

• Parallelogram because opposite sides are parallel, Rhombus because all sides are congruent

• Rhombus because opposite sides are congruent

• Cannot determine if the shape is a parallelogram

Given MNOP is a parallelogram because opposite sides are congruent,

then what formula should be used to determine if the figure is a rectangle.

• Distance

• Slope

• midpoint

• equation of line

• Bisect each other

• They are not Perpendicular(not right angle)

• They are Perpendicular(Form right angle)

• AB=BC

What formula should be used to prove the parallelogram is opposite sides are congruent?

• Equation of Line

• midpoint

• Slope

• Distance

What formula should be used to prove the parallelogram is a rectangle using the definition?

• Equation of Line

• Midpoint

• Slope

• Distance

What must a square be classified as before you can call it a square

• Parallelogram & Rhombus

• Rhombus & Rectangle

• Rectangle & Parallelogram

• Quadrilateral & Parallelogram

• Square

• Rhombus

• Rectangle

• Parallelogram

Determine the slope of a line parallel and perpendicular to

A(-2, -3) and B(0, 4)

• parallel m= -2/7 &

  perpendicular

  m= 7/2

• parallel m= -7/2 &

  perpendicular

  m= 2/7

• parallel m=7/2 &

  perpendicular

  m= -2/7

• parallel m=2/7 &

  perpendicular

  m= 7/2