Mathematics
8bithelix:

5 months ago

Your logic looks good to me.

5 months ago
8bithelix:

although im unsure about 2 and 3

5 months ago

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.

5 months ago

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.

5 months ago

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

5 months ago

I believe that clears up 2 and 3

5 months ago
8bithelix:

so i guess B is right?

5 months ago

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

5 months ago

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

5 months ago

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

5 months ago

alternate interior*

5 months ago

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).

5 months ago

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

5 months ago
8bithelix:

oh ok, thank you.

5 months ago