Understanding Parallelograms on a Coordinate Plane

The video tutorial explains how to sketch a parallelogram on a coordinate plane using three given vertices. It begins by plotting these points, emphasizing the x and y coordinates. The tutorial defines a parallelogram and its properties, such as parallel opposite sides of equal length. It then demonstrates two methods to find the fourth vertex, ensuring the sides remain parallel and equal in length. The tutorial concludes with the coordinates of the fourth point, providing a comprehensive understanding of constructing a parallelogram.

What is the first step in plotting a point on a coordinate plane?

• Move vertically to the y-coordinate

• Start at the origin

• Move horizontally to the y-coordinate

• Start at the x-axis

Which axis is the horizontal number line on a coordinate plane?

• z-axis

• y-axis

• w-axis

• x-axis

How do you plot the point (-4, 3) on a coordinate plane?

• Move 4 units right and 3 units down

• Move 4 units left and 3 units up

• Move 4 units left and 3 units down

• Move 4 units right and 3 units up

What is a key property of a parallelogram?

• All sides are equal

• It has three sides

• All angles are right angles

• Opposite sides are parallel and equal in length

How can you determine the length of a vertical side in a parallelogram?

• By measuring the diagonal

• By using the Pythagorean theorem

• By counting the vertical units

• By measuring the horizontal distance

What is the length of the vertical side in the given parallelogram?

• 5 units

• 6 units

• 7 units

• 8 units

How do you find the fourth point of a parallelogram using the slant method?

• Move up and left

• Move down and right

• Move up and right

• Move down and left

What are the coordinates of the fourth point in the parallelogram?

• (1, 5)

• (-1, -5)

• (1, -5)

• (-1, 5)

Which method can be used to find the fourth point of a parallelogram?

• Using the area formula

• Using the distance formula

• Using parallel and equal length properties

• Using the midpoint formula

What is the significance of the fourth point in a parallelogram?

• It determines the area

• It completes the shape

• It is the midpoint

• It is the center of symmetry