How could you use coordinate geometry to prove that BC || AD?
Prove the slopes are the same
Prove the slopes are opposite reciprocals
Prove the lengths are the same
Prove the midpoints are the same

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.

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a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.