Question

Describe what information would be needed if you wanted to prove triangle BAC~ triangle DFE. Be specific with side lengths, angle names and the postulate that you use.

Answer 1

Say side BA is congruent to DF and AC is congruent to FE then we know Angle B and D congruent and A and F congruent.

Answer 2

To prove two triangles are similar, all you need to do is show that two angles of one triangle are congruent to two angles of the other triangle. Then by AA Similarity, the triangles are similar.

Answer 3

Do you want to show similarity or congruency?

Answer 4

Check to confirm one way or the other, and we can get you a good answer.

Answer 5

Honestly I'm completely lost on this question

Answer 6

I looked up what ~ meant. I am looking for similarity

Answer 7

Ways to show similarity:

Two angles equal.
Two sides proportional on the triangles, and the included angles equal.
All sides proportional.

Answer 8

I have to give specific lengths angles and postulates

Answer 9

Yes

Answer 10

Pretty sure conditon 1. above isn't sufficient.

Answer 11

I think to ensure similarity, you need the two sides on each triangle proportional, and the included angle equal.

Answer 12

oh goodness I am soo confused! what does ~ mean?

Answer 13

I mentioned that earlier.

Answer 14

That is true. If angle B isn't congruent to angle E, your triangles aren't similar.

Answer 15

No sweat. Good night.

Answer 16

Thank you

Answer 17

Except you don't have any indication that AC is proportional to DF.

Answer 18

We should play nice and help me with the problem that I posted earlier.

Answer 19

Except, without enough information, you can't prove it. You need either all three sides proportional, or two angle equal, or two sides proporional and an included angle equal to show similarity. I don't think you have enough information in your problem to prove it.

Answer 20

Still need help on that other question

Answer 21

Counterexample: suppose AC=6 and DF=19. Still think it's similar?

Answer 22

Please notice that it is the SSS theorem. All three sides have to be proportional. You can draw any number of non-similar triangles with two proportional sides. You either have to specify the included angle, or the third side to ensure similarity.

Answer 23

Still need help!!