## kylea 3 years ago geometry question?

1. kylea

2. Grazes

Both?

3. kylea

4. Grazes

The first one is not similar because the sides are not in proportion. 3 can correspond to the 6 (x2) but if you apply the same thing to the 2 (2x2=4), you don't get 5. So they're not similar

5. kylea

alright that makes sense

6. Grazes

For the 2nd one, 10+5=15 and 14+7=21. 10 and 14 (sides of the other triangle) relate to 15 and 21 because 10/14=15/21. You know this cuz you can simplify them both to 5/7

7. kylea

okay i get that but how do you know what they are similar by? is it sss?

8. Grazes

Oh. The similarity theorem is always by AA. SSS is if the numbers for the triangles are the same because it proves that the triangles are congruent.

9. kylea

always? let me show you this other problem... would it be AA for it to?

10. kylea

11. Grazes

|dw:1341959357505:dw| That would be by SAS

12. Grazes

As for your problem, it would be AA because you see that 2 angles are already congruent and you know that there's another set of congruent angles by (Vertical angles are congruent)

13. Grazes

GIH and JIK are the vertical angles, btw

14. kylea

okay thank you!