Question

...

Answer 1

B is false because AD || BC, so you can eliminate that answer choice

Answer 2

C isn't always true (it's only true if you have a rhombus), so C is out too

Answer 3

and D is only true if you're dealing with a rectangle

Answer 4

yes that's the only thing left

Answer 5

... but A is just re-stating the given of the question, right...?

Answer 6

The givens are: ABCD is a quadrilateral and AB = DC

What we want to show: ABCD is a parallelogram

the other choices were ruled out to leave AB || CD, which is part of the properties of a parallelogram

Answer 7

ie, you need the two opposite sides to be parallel

Answer 8

that's ok, yw