In this lesson, we will learn how to use the distance, slope, and midpoint formulas to determine whether a quadrilateral in the coordinate plane is a parallelogram.
Q1:
The points 𝐾(−5,0), 𝐿(−3,−1), 𝑀(−2,5), and 𝑁(−4,6) are the vertices of quadrilateral 𝐾𝐿𝑀𝑁. Using the slope formula, is the quadrilateral a parallelogram?
Q2:
If 𝐴𝐵𝐶𝐷 is a quadrilateral, 𝐴=(−2,−17), 𝐵=(−14,10), 𝐶=(1,7), and 𝐷=(13,−20), find the midpoint of 𝐴𝐶 and 𝐵𝐷, then determine what type of figure 𝐴𝐵𝐶𝐷 is.
Q3:
Where must the coordinates of point 𝐶 be so that 𝐴𝐵𝐶𝐷 is a parallelogram? In that case, what is the area of the parallelogram?
Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
