Question

http://prntscr.com/dkfuke

Answer 1

this topic is confusing me @mathmale

Answer 2

ASA?

Answer 3

Hello, PuppFriend. Still nuts about puppies?
A drawing is just about essential as you attempt to solve this problem. I draw one before doing anything else. Hope you'll take the time to do so also.

In RST, <R is 60 degrees; in DEF, <F is also 60 degrees. RS = EF = 4.

Note that in EDF, 40 degrees is given as the smallest angle. That makes it easily possilbe to calculate the measure of Angle E.

Once you've drawn these 2 triangles side by side, label everything. Do the 2 triangles appear to be congruent or not congruent? By which rule?

Answer 4

ahemm, may note there are 180 degrees to all internal angles in a triangle

Answer 5

i believe they are congruent, the angles would be 80,60, and 40, and since the side 4 is given, i would say its congruent by angle side angle, ASA, but im not sure

Answer 6

id say either A or b

Answer 7

@mathmale

Answer 8

Before we move on, please find the measure of Angle E.

Answer 9

80

Answer 10

Right. Now, I see that angles R and S in the first triangle are congruent with angles E and F in the second. Agree or disagree?

Answer 11

I looked back to what you typed in earlier and see that you chose ASA as your grounds for calling the 2 triangles congruent.

Now compare RT to DF. Do these 2 sides appear to be congruent or not? If you think they're congruent, which rule would you use to justify your answer?

Answer 12

I'll be back later.

Answer 13

agree rs=ef, rt and df should be congruent cuz the interior angles add up to 180

Answer 14

wait what the heck @sshayer

Answer 15

We have confirmed that the 2 triangles are congruent by ASA, that is, by the 60 degree angles, the 4 unit side and the 80 degree angle.

If the 2 triangles are congruent, what does that tell you about any two corresponding sides?

Answer 16

that they are equal, right

Answer 17

Yes, that's it. So, your conclusion is ??? Please refer back to the original question and use words from it.

Answer 18

the answer is A, they are congruent, by ASA, and line FD

Answer 19

thank you sir

Answer 20

You're welcome, sir. ;)