In parallelogram ABCD, A (0,0),B(a,b)and D(c,0)are three of it's vertices, what are the coordinates of C in terms of a,b,c

What is 0,b ?

To find the coordinates of vertex C in parallelogram ABCD, we need to use the fact that opposite sides of a parallelogram are parallel and have equal length.

Given that A (0,0), B (a,b), and D (c,0) are three of the vertices, we can see that side AB is parallel to the x-axis and side AD is parallel to the y-axis.

Since opposite sides of a parallelogram have the same length, we can use this information to determine the coordinates of vertex C.

Since AB is parallel to the x-axis, and AD is parallel to the y-axis, we can conclude that BC is parallel to AD and CD is parallel to AB. Therefore, the y-coordinate of C will be the same as the y-coordinate of B (because BC and AD are parallel), and the x-coordinate of C will be the same as the x-coordinate of D (because CD and AB are parallel).

So, the coordinates of vertex C will be (c,b).