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.