Parallelograms on Coordinate Plane

If you think this shape is a parallelogram, which of the following could prove it?

• Opposite Sides are congruent

• Opposite sides are parallel

• Diagonals are congruent

• Diagonals bisect each other

• Diagonals are perpendicular

If you think this shape is specifically a rhombus, which of the following could prove it?

• All sides are congruent

• Opposite sides are parallel

• Diagonals are congruent

• Diagonals bisect each other

• Diagonals are perpendicular

Which could tell you that this is a parallelogram?

• Opposite angles are supplementary

• Consecutive angles are supplementary

• Opposite sides are parallel

• Diagonals bisect each other

• This is not a parallelogram

• Parallelogram

• Square

• Rectangle

• Rhombus

• a

• b

• c

• d

ABCD is a parallelogram, so the diagonals bisect each other. What is the midpoint of the diagonals?

• (a+c,b)

• (c/2,b/2)

• ((a+c)/2,b/2)

• (a/2,b/2)

• Find the length of all 4 sides.

• Find the length of both diagonals.

• Find the slope of both diagonals

• Find the slope of all 4 sides.

• Find the slope of 2 sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of all 4 sides.

• Find the slope of all 4 sides.

• Find the midpoint of all 4 sides.

• Find the length of all 4 sides.

• Find the length of 2 sides.

What conclusion would you make if the you calculated the slopes to be this?

• Opposite sides parallel

• Consecutive sides or Diagonals are perpendicular

• Opposite sides are congruent

• none of these