Question

Look at the figure.

Answer 1

Make a two-column proof showing statements and reasons to prove that triangle DEF is similar to triangle DEG.

Answer 2

Anybody please help, I am very desperate for help on this one. I've been stuck for an hour or so.

Answer 3

Please help me? ^

Answer 4

or @jim_thompson5910 may you please help me once more?

Answer 5

I have the first two steps figured out.

1. Angle DEG = Angle GFE ----> Given
2. Angle GDE = GDE ----------> Reflexive Property

Answer 6

you have enough info to say they're similar

Answer 7

by use of the AA (angle angle) similarity postulate

Answer 8

yes, but I believe there can be more done

Answer 9

which says: if two triangles have 2 pairs of congruent corresponding angles, then the two triangles are similar

Answer 10

and the AA postulate was an applicable option for me, however idk if it goes next

Answer 11

yeah it's a very short proof

Answer 12

I just need to "fluff it up" you know?

Answer 13

no need

Answer 14

you have everything you need to get to the end

Answer 15

So what you are saying is that nothing else can go ?

Answer 16

what else would you want to add? you're basically done

Answer 17

anything, i just know my instructor will penalize me due to my answer

Answer 18

how many lines are you supposed to have?

Answer 19

I have no idea, however I feel that 5 should be a minimum, because I know that more can be put in the column. I just don't know what.

Answer 20

well if you can do it in 3, then do it in 3

Answer 21

everything is valid and straight to the point

Answer 22

no need to add extra info that's not really helpful

Answer 23

ok. Thanks. Can you tell me if the next question is right? I will post it momentarily.

Answer 24

ok

Answer 25

Look at the figure

Answer 26

Which pair of triangles is similar?

Triangles DAC and ABC

Triangles EAD and DAC

Triangles DEA and ABC

Triangles ABC and CDE

Answer 27

I chose C.

Answer 28

that's not possible

Answer 29

I knew it. I can't seem to find an answer.

Answer 30

DEA has the right angle at A
ABC has the right angle at B

Answer 31

notice how E and B are the second letters, so they must be equal angles (if they are similar)

Answer 32

So then it would be B?

Answer 33

they both have a right angle at A

Answer 34

are you sure?

Answer 35

EAD is a right angle, but is DAC?

Answer 36

or it could be D

Answer 37

never thought about D, but it seems valid

Answer 38

DAC isnt a right angle. I followed the picture again. Sorry.

Answer 39

DAC would only be a right angle if EAC is a straight angle

Answer 40

Yes. You are right. I understand completely. lol

Answer 41

So it's D.

Answer 42

Triangles ABC and CDE

Answer 43

hmm that has half of the info we need

Answer 44

we need 2 pairs (not one pair) of angles to be congruent

Answer 45

I'm assuming that it says nothing about parallel lines?

Answer 46

Nope. this is a very terrible question.

Answer 47

true, if we were given DAC = 90 degrees or the fact that EAC is a straight angle, then we could go with B

Answer 48

that's probably what they want you to go for

just wish it wasn't missing that bit of info

Answer 49

I know, this is what is why I have trust issues.

Answer 50

I don't know the answer, and it may be a mystery forever

Answer 51

I would go with B since basically anything involving ABC (A, C, D) is false

we just don't have enough info to tie in ABC

Answer 52

also, the letter choice is overlapping

you have point A and choice A...somewhat confusing lol

Answer 53

It is because DAC is not certain to be a right angle

Answer 54

well I'm assuming it's implied that EAC = 180 degrees (ie it's a straight line)

so that leads to DAC = 90

Answer 55

Oh this is true.

Answer 56

they should have been more explicit though

Answer 57

nice word choice lol, but i am still stuck.

Answer 58

well there's not much you can do but ask your teacher, but I gave you what I would go with

Answer 59

Ok. I'll try. Thanks again.

Answer 60

yw

Answer 61

It was correct! @jim_thompson5910

Answer 62

The answer was B. Good going.

Answer 63

ok great