## chrisjr1028 3 years ago Part I: Create two similar triangles. Label your triangles and write the corresponding similarity statement. Describe, using complete sentences, the side lengths of the two triangles you created. Part II: Explain, using complete sentences, why these triangles are similar.

1. Mertsj

What does it mean to say that two triangles are similar?

2. chrisjr1028

3. SweetRascal

Third side. Two triangles are said to be similar if ... The corresponding sides of similar triangles have lengths ... Using right triangles and the concept of similarity,

4. Mertsj

If two triangles are similar, they have the same shape but not the same size.

5. Mertsj

|dw:1326222467035:dw|

6. Mertsj

Sort of like that.

7. Mertsj

So now we must label them and write the similarity statement.

8. Mertsj

|dw:1326222575460:dw|

9. Mertsj

When you write the similarity statement, corresponding parts must be in the same order. So we would write: |dw:1326222700581:dw|

10. Mertsj

To describe the sides we would say that the ratio of side AB to side DE is equal to the ratio of side BC to side EF which is equal to the ratio of side AC to side DF.

11. chrisjr1028

i need side lengths thow...

12. Mertsj

I don't think you do. It said to describe the side lengths not to say what they are.

13. chrisjr1028

but how do you prove that they ar e similar then?

14. Mertsj

And the description is that corresponding sides are proportional or that they have the same ratio which is another way of saying the same thing.

15. chrisjr1028

im so confused

16. Mertsj

We do not have to prove they are similar. It said to draw two similar triangles. Not to prove that two triangles are similar.

17. Mertsj

The reason for this assignment is to see if you know what similar triangles are and how they look and how to write the similarity statement and if you know that the corresponding sides have the same ratio.

18. chrisjr1028

but if you look at the end of the question, it says describe the side lengths of the triangles you have created

19. Mertsj

Ok. I'm going to try something else to get you to understand. Hang on. I have to make a drawing.

20. chrisjr1028

i have to prove ihave done the work.......idk what to d0

21. Mertsj

|dw:1326223173282:dw|

22. Mertsj

Now look at those triangles. What must you do to side DE to get side AB?

23. Mertsj

And what must you do to side EF to get side BC?

24. chrisjr1028

double it

25. Mertsj

And what must you do to side DF to get AC?

26. Mertsj

27. chrisjr1028

double it

28. chrisjr1028

you double it!!!!!!!!!!!!!!!!!!!!!!

29. Mertsj

Exactly. That means that if you put 10/5 that is the same as 12/6 which is the same as 8/4

30. Mertsj

That's the way similar triangles always are.

31. Mertsj

If you divide the corresponding sides you always get the same number.

32. chrisjr1028

so thats all i do?

33. Mertsj

And that is the description of the lengths of the sides of similar triangles.

34. Mertsj

That's all you have to do for the description.

35. chrisjr1028

THANK YOU SO MUCH DUDE!

36. Mertsj

You still have to do part 1 where you draw the picture and write the similarity statement.

37. Mertsj

Also you need to know that in similar triangles, the corresponding angles are congruent.

38. Mertsj

You're welcome.

39. chrisjr1028

i know i am doing that now. But for the lengths i just write " the triangles are half the lengths of the other"?????

40. Mertsj

And I'm a dudess.

41. chrisjr1028

im confused abou tthat part. \

42. Mertsj

What part?

43. chrisjr1028

for the lengths i just write " the triangles are half the lengths of the other"?????

44. Mertsj

You mean that I am female and not male? Dude is a masculine term.

45. Mertsj

This is the last time I am going to tell you this: In similar triangles corresponding sides have equal ratios.

46. chrisjr1028

whatever..thanks for the help. Have a good life owlet.

47. Mertsj

Describe for me the shirt you have on.

48. Mertsj

Are you going to answer me? I'm trying to help you understand that to describe the lengths of the sides, you don't have to tell how long the sides are.