Question

Choose the statement that is NOT a conclusion you can make from the given information.
Given ABCD is a parallelogram.
1) Opposite angles are congruent.
2) Adjacent angles are supplementary
3) Opposite sides are congruent
4) Adjacent sides are congruent

Answer 1

a parallelogram is comprised of two sets of parallel sides

Answer 2

we know that the total angles in the figure add up to 360

Answer 3

we know that in order for both sets of sides to be parallel both opposite sides and therefore parallel sides must be of similar length

Answer 4

just imagine the figure. adjacent angles, basically those that are on the same "line" must be supplementary, therefore summing to 180

Answer 5

opposite sides are congruent, else the figure risks becoming skewed and thus not being a parallelogram

Answer 6

imagine an opposite side being longer than the other, then it would difficult for the other set of opposite sides to be parallel...and, you know what happens from here

Answer 7

now, given the shape, the parallelism of the sides, opposite angles, those in direct opposite corners would be similar, aka congruent

Answer 8

so, what do you think the answer is?

Answer 9

adjacent angles are congruent?

Answer 10

adjacent angles would those that are supplementary

Answer 11

but, consider a square

Answer 12

all you know is that the figure is a "parallelogram," you don't know the slope of the sides, length of the sides

Answer 13

Hope this was enough