Understanding Parallelograms

What is the initial step taken to prove that QRS T is a parallelogram?

• Graph the points Q, R, S, and T

• Determine the angles of QRS T

• Find the perimeter of QRS T

• Calculate the area of QRS T

Which formula is used to show that opposite sides are parallel?

• Slope formula

• Midpoint formula

• Area formula

• Volume formula

What is the purpose of using the distance formula in the second method?

• To find the midpoint of the diagonals

• To calculate the area of the parallelogram

• To determine the angles of the parallelogram

• To show that opposite sides are congruent

What is the key property of parallelograms used in the third method?

• All angles are right angles

• All sides are equal

• Diagonals bisect each other

• Diagonals are perpendicular

How is the midpoint of a diagonal calculated?

• By finding the square root of the sum of coordinates

• By multiplying the coordinates

• By subtracting the coordinates and dividing by two

• By adding the coordinates and dividing by two

What conclusion is drawn when the midpoints of the diagonals are the same?

• The diagonals are parallel

• The diagonals are congruent

• The diagonals bisect each other

• The diagonals are perpendicular

Why is the diagonal method considered more efficient?

• It is easier to visualize

• It provides more accurate results

• It uses simpler formulas

• It requires fewer calculations

Which method involves using the slope formula four times?

• Method 2: Opposite sides congruent

• Method 1: Opposite sides parallel

• Method 3: Diagonals bisect each other

• None of the methods

What is the main advantage of using the midpoint formula in the third method?

• It is more accurate

• It requires fewer calculations

• It is easier to understand

• It provides a visual representation

What is the final conclusion about QRS T?

• It is a rectangle

• It is a trapezoid

• It is a square

• It is a parallelogram