Question

If figure ABCD is a parallelogram, what is the x-coordinate of point B?

A. $$2$$
B.$$5$$
C.$$6$$
D.$$8$$

Answer 1

Hint: Take both the sides of the parallelogram as parallel and the distance of both the sides is the same. Check the distance of the other side and then take point B away from A with the same distance parallel to A.

Complete step-by-step answer:\

Given:length of side CD $$=6-2=4$$
length AB = length DC
When we are solving this type of questions, we need to follow the steps
provided in the hint part above.
At line AB $$y=4$$ So y coordinate of B $$=4$$
Distance CD $$=6-2=4$$
x coordinate of B $$=4+4=8$$
Hence, Coordinate of B $$\left(8,5\right)$$
So, the correct answer is “Option D”.

Note: We need to use the right formula to avoid unnecessary things which are sometimes time consuming:We need to clearly focus on the fact that y coordinate of AB and DC will be constant.