Classifying Parallelograms in the Coordinate Plane

You can prove both pairs of opposite sides are congruent in a parallelogram using the distance formula.

• True

• False

You can prove both pairs of opposite sides are parallel by using the slope formula.

• True

• False

If you want to prove a parallelogram in the coordinate plane using the both the slope formula and distance formula, how many times do you need to do each?

• 1

• 2

• 3

• 4

If you can prove that one pair of opposite sides of a parallelogram are the same length and have the same slope, you can prove that it is a parallelogram.

• Always

• Sometimes

• Never

Is the quadrilateral a parallelogram?

• Yes; one pair of opposite sides are parallel

• Yes; one pair of opposite sides are congruent

• Yes; opposite sides are parallel and congruent

• No; only one pair of sides are parallel

• No; only one pair of sides are congruent

• Parallelogram

• Square

• Rectangle

• Rhombus

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

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

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

What is the most precise name for a parallelogram with perpendicular and congruent diagonals?

• Parallelogram

• Rectangle

• Rhombus

• Square