Classifying Quadrilaterals in Geometry

What is the first step in identifying the type of parallelogram based on its appearance?

• Make an educated guess

• Determine the slopes of sides

• Graph the coordinates

• Calculate the lengths of diagonals

How can you prove a quadrilateral is a rectangle using its diagonals?

• By calculating the area of the quadrilateral

• By proving the diagonals are congruent

• By showing the diagonals intersect at right angles

• By demonstrating one diagonal is longer than the other

What is the length of diagonal EU in the rectangle?

• 5 units

• 10 units

• 15 units

• Square root of 125

What is the length of diagonal TN in the rectangle?

• 11 units

• 2 units

• Square root of 125

• 13 units

What criteria must a quadrilateral meet to be considered a parallelogram?

• All sides must be equal in length

• It must have four right angles

• It must have two pairs of parallel sides

• The diagonals must intersect at right angles

How can you determine if two lines are parallel?

• If they intersect at a right angle

• If they have the same length

• If they have the same slope

• If they are equidistant apart

What is the slope of the line defined by the equation y = 2x + 1?

• 1

• 2

• -1

• -2

Which lines in Example B are parallel to each other?

• y = 2x + 1 and y = 2x - 4

• y = 2x - 4 and y = -x - 5

• y = 2x + 1 and y = -x + 5

• y = -x + 5 and y = 2x - 4

What is the slope of the line defined by the equation y = -x - 5?

• 1

• 5

• -1

• -5

Why is graphing the lines helpful in determining if a quadrilateral is a parallelogram?

• It determines the exact coordinates of intersection points

• It is necessary for calculating the length of diagonals

• It visually confirms the parallelism of sides

• It helps in calculating the area