Question

Triangle ABC is dilated to form new triangle DEF. If angle A is congruent to angle D, what other information will prove that the two triangles are similar?

Angle B is congruent to angle E.

Side AB is congruent to side DE.

Angle C is congruent to angle D.

Side BC is congruent to side EF

Answer 1

@TheRealMeeeee

Answer 2

@Loser66

Answer 3

@panda_lover

Answer 4

@e.mccormick

Answer 5

I chose D.

Answer 6

please help :(

Answer 7

calm down, Expert is here. hehehe @e.mccormick hello, help him, please

Answer 8

ok :)

Answer 9

Know what things can prove similar? Like AAA, ASA, SSA, and so on? Know what I mean by AAA even?

Answer 10

not really

Answer 11

OK, when you look at triangles, one way of talking about them in short hand is angle, angle, angle or AAA, side, side, side, or SSS, and so on.

Answer 12

Now, for similar triangles, all they need to have is the same angle measuers. They may or may not have the same lenght sides.

Answer 13

oh yeah ok

Answer 14

So, what is the minimum amount of information to know all the angles in a triangle?

Answer 15

For any \(\triangle\)ABC, \(\angle\)A+\(\angle\)B+ \(\angle\)C=180\(^\circ\)

This means \(\angle\)A=180\(^\circ\)-(\(\angle\)B+ \(\angle\)C). The same sort of math can be used to find the others.

So with any two angles, you can always find the third. That was the point of my question. To find all three angles, you only need two.

Now, if I told you that I had two triangles and that two of their angles were the same, what would that mean about the triangles?

Answer 16

sorry it froze

Answer 17

that would mean that the triangles are congruent ?

Answer 18

@e.mccormick

Answer 19

is it A

Answer 20

Yes.