Question

Figure ABCD is a parallelogram, if point C lies on the line x = -1, what is the y value of point c?

Answer 1

Answer:

y = 0

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides parallel. Then segment CD must be parallel to AB, and CB must be parallel to DA. Two different segments are parallel if they have the same slope.

slope of DA = (yA - yD)/(xA - xD) =  (4 - 2)/(1 - (-1)) = 1

slope of CB = (yB - yC)/(xB - xC) = (2 - yC)/(1 - (-1)) = 1

(2 - yC) = 2 * 1

2 - 2 = yC

0 =  yC

Note: coordinates of A are (xA, yA), of B are (xB, yB), of C are (xC, yC) and of D are (xD, yD)