Question

Please help

Answer 1

@Vocaloid do you think you could help when you have a moment?

Answer 2

for the first blank, it is stating that these two pairs of angles are equal - what do we call these types of angles?

Answer 3

second blank - since we have the big triangle and the small triangle with two pairs of equal angles, simply state that the big triangle and small triangle are similar via aa

Answer 4

third blank - notice how they are simply splitting up the big segments into smaller segments - which theorem states that the big segments are a sum of their component segments?

Answer 5

My apologizes, I forgot to post the choices v.v

Answer 6

well, let's take a look at the first blank again - are these two pairs of angles "corresponding" or "alternate interior"?

Answer 7

alternate interior" I believe

Answer 8

for alternate interior they'd have to be on opposite (alternating) sides of the line

since the <1 and <4 are in the same relative position/orientation, we say these are corresponding

so first blank -> corresponding

Answer 9

then for blank 2 which statement is saying that the big triangle and small triangle are similar?

Answer 10

ACE~BCD

Answer 11

awesome, so that's blank 2

for blank 3 - which postulate states that a segment length is equal to the sum of its component segments?

Answer 12

segment addition postulate

Answer 13

good, so that's your third blank

Answer 14

Thank you Voca, if you do not mind helping me I have one more.

Answer 15

sure

Answer 16

I will open a new post and tag you c: