Lesson Worksheet: Parallelograms on the Coordinate Plane Mathematics • 11th Grade
In this worksheet, we will practice using the distance, slope, and midpoint formulas to determine whether a quadrilateral in the coordinate plane is a parallelogram.
If is a quadrilateral, , , , and , find the midpoint of and , then determine what type of figure is.
- A, trapezoid
- B, parallelogram
- C, parallelogram
- D, trapezoid
If is a parallelogram, what can be said of the slope of line ?
- Athe slope of line = the slope of line
- Bthe slope of line = the slope of line
- Cthe slope of line = the slope of line
- Dthe slope of line = the slope of line
is a parallelogram. The coordinates of the points , , and are , , and respectively. Find the coordinates of .
Suppose that and fix two sides of a parallelogram. What is the area of this parallelogram, to the nearest hundredth?
Given that , , and , determine the area of the parallelogram to the nearest hundredth.
A parallelogram has vertices at the points , , , and with coordinates , , , and respectively.
Work out the perimeter of the parallelogram . Give your solution to one decimal place.
By drawing a rectangle through the vertices of the parallelogram, or otherwise. Work out the area of the parallelogram .