## vivianrush 2 years ago Are the two triangles similar? If so, how do you know?

1. vivianrush

2. vivianrush

i think its D. am I correct?

3. JUICEDECAFE

D is correct. they aren't similar.

4. saifoo.khan

I say no.

5. saifoo.khan

@JUICEDECAFE How?

6. cwrw238

they are similar

7. JUICEDECAFE

If they are then explain because i don't see how

8. JUICEDECAFE

did you look at the picture?

9. JUICEDECAFE

?

10. cwrw238

if triangles are similar then corresponding sides are in the same ratio take the longest sides: 12 / 8 = 1.5 and the other pairs of sides 7.5 / 5 = 1.5 7.5 / 5 = 1.5 so they are similar

11. saifoo.khan

^

12. JUICEDECAFE

did you look at the picture?

13. vivianrush

i'm so confused now.

14. cwrw238

yes

15. cwrw238

they are similar - though i must admit i'm a little confused with the reasons

16. JUICEDECAFE

My opinion is D.

17. JUICEDECAFE

and yours opinion is different

18. cwrw238

similar triangles are the same shape but different size. also corresponding angles are equal

19. cwrw238

i'm afraid your opinion is wrong, juice...

20. JUICEDECAFE

My opinion is right. And i don't have time for arguing :) so Have a Wonderful Day!

21. cwrw238

you too

22. vivianrush

i have no idea if i'm right or wrong. i'm so lost now

23. saifoo.khan

I still think it's still A.

24. cwrw238

SSS?

25. saifoo.khan

Yes. Am i wrong? Im not 100% sure.

26. cwrw238

i've only seen SSS with respect to congruent triangles - but as we've shown that sides are in same ratio then SSS makes sense , i suppose

27. cwrw238

i'm same as you - not completely sure

28. mathstudent55

@vivianrush @cwrw238 is correct The correct answer is A. This way of proving triangles similar is called SSS Similarity. If you show that the lengths of three sides of one triangle are proportional to the lengths of the sides of another triangle, then the triangles are similar. This is one of three ways of proving triangles similar. The others are AA, and SAS Similarity. AA is: if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. SAS Similarity is: if the lengths of two sides of a triangle are proportional to the lengths of two sides of another triangle, and the included angle of one triangle is congruent to the included angle of the other triangle, then the triangles are similar.