Question

Geometry!
Jason used this figure (attached below) in a proof of the Triangle Sum Theorem. For one step, Jason used the “Parallel Postulate” as a reason. For what action in his proof did he most likely use this reason?

a.) Stating angle 4 and angle 5 are congruent
b.) Constructing auxiliary line I
c.) Stating angle 1 and angle 4 are congruent.

Thank you to anyone who is kind enough to help <3

Answer 1

Here is the figure that the question refers to : )

Answer 2

Parallel postulate is... for any line and a point not on that line, there is only one line through that point that is parallel to the given line?

Answer 3

Parallel postulate states that through any given point not on a line there passes exactly one line parallel to that line in the same plane.

Answer 4

So you're right!!!

Answer 5

Would it be B?

Answer 6

Seems like it
I imagine it's the (one) line through the point G that is parallel to the line through the points H and F.

:)

Answer 7

Thank you soooooooo much! You're awesome. You've helped me tons!

Answer 8

^_^