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 $= {\rm{ }}4$
Distance CD $= {\rm{ }}6 - 2 = 4$
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.