The correct answer could be "Prove the slopes are the same" or "Prove the lengths are the same" (Length of opposite sides of ABCD). Option 1 and 3 can be correct.
Given information:
A quadrilateral ABCD is given in the figure and it is asked to prove that the line BC is parallel to AD.
Now, in a quadrilateral, if the pair of opposite sides are equal, then the quadrilateral is a parallelogram.
So, from this definition of parallelogram, The opposite sides will be parallel or simply BC || AD.
Now, one more concept can be used here. The lines with same slope will make same angle with the x-axis and hence, they will be parallel.
So, if the slope of line BC and AD is equal, then the lines will be parallel.
Therefore, the correct answer could be "Prove the slopes are the same" or "Prove the lengths are the same" (Length of opposite sides). Option 1 and 3 can be correct.
NOTE: if the question has only one correct option, then option 1 will be correct.
For more details, refer to the link:
https://brainly.com/question/16474292