Question

someone check my answers
http://prntscr.com/mls3hl

Answer 1

Your logic looks good to me.

Answer 2

although im unsure about 2 and 3

Answer 3

For A, you can simply say that the lines are parallel because when Stacey turned 90 degrees to go from B->C, she didn't make any turns after going from C to D, thus we can conclude that DE is parallel to AB, as there are no notations of needing to turn for the trip from D to E, thus it is a straight line parallel to AB.

Answer 4

For B, we already know angles B and D are congruent, which is stated in A so we can't repeat that in B. I do know that we can conclude that angle ACB and DCE are congruent. That is what makes it AA.

Answer 5

Had to look up the name for it. It's vertical angles. You can review them here:
https://mathbitsnotebook.com/Geometry/SegmentsAnglesTriangles/SATAnglePairs.html

Answer 6

I believe that clears up 2 and 3

Answer 7

so i guess B is right?

Answer 8

They both work, mine and yours, I just don't know the name for yours. With mine it's vertical pairs.

Answer 9

But knowing the lengths is indicative of this being some sort of relationship.

Answer 10

They are alternative interior angles. You can review those here:
https://www.math10.com/en/geometry/angles/angles.html

Answer 11

alternate interior*

Answer 12

Because they are on alternate (opposite) sides of the transversal (AE) and in the interior (inside of both parallel lines, not outside, which would make them exterior).

Answer 13

They are not adjacent to each other, and they are congruent, thus AA.

Answer 14

oh ok, thank you.