Question

The larger triangle was created to represent an ear and the smaller one was created to represent the cat’s nose. Are the two triangles shown similar? If so, what transformation was used to create the smaller triangle? If they are similar, what corresponding parts are congruent and which parts are proportional? If the triangles are not similar, explain why not. Make sure to provide evidence and explain your answer using complete sentences.

Answer 1

hold on my sis iss comeing

Answer 2

K lol. You dont have to drag her here lol. She can come when she wants to.

Answer 3

Well, measure everything you can measure for both of them i.e length of sides, internal angles

Answer 4

Do the length of the larger on seem like a multiple of the lengths of the smaller one? Are the angels the same? If yes to both questions, then they are similar, one is the enlarged image of the other.

Answer 5

Ok so, measure them, first, and then see if they answer yes to those questions?

Answer 6

Yep. But you usually can make do with just the lengths. The angle measurement just helps.

Answer 7

I think they are similar, but im not sure

Answer 8

Well, what are the measurements for the lengths?

Answer 9

Yep they are similar 4 by 2 and 2 by 1

Answer 10

There we go. Now you have to think of how one becomes the other. Hint: You scale one by a factor and rotate it.

Answer 11

Sorry it kept putting me in the design section idk why. Anyways, the scale factor is 1/2 and it was reflected and rotated at 90 degrees, i think.

Answer 12

Almost. I think it's rotated more than 90 degrees

Answer 13

180?

Answer 14

Oh God I made a mistake. When you rotate you can only inverse up and down, not left and right. The two triangles are inversed left to right. What does that remind you of?

Answer 15

I have no idea...sorry :/

Answer 16

A mirror! :D You're left is right and right is left :3

Answer 17

And what is the process called?

Answer 18

Ohhh ah dur sorry. Reflection

Answer 19

Your* Dang I made that mistake ._.

Yes reflection :) Can you find the line of reflection?

Answer 20

Y=X?

Answer 21

Hmm no. Lemme think of how you can remember it. But, don't they look symmetrical? As in, the reflection is on a straight line.

Answer 22

Im drawing a blank here....Any more hints? Sorry :(

Answer 23

Sure thing dear Adryn :) Well, can you picture just folding the 'paper' by half down the middle?

Answer 24

Yesh i can. :/

Answer 25

Then, the reflection will be a line on one value of x :) And we know that line must be in the middle of the two shapes

Answer 26

Ok so it was reflected over the x axis? I'm sorry i think I'm just over thinking this....

Answer 27

Yep. I'm not sure if it's called an axis though. Can you find what that value of x is?

Answer 28

It was transformed 90 degrees counterclockwise. To know if they are similar, we cannot know, as we would need either two sides, or a side and an angle, (ASA) and (SSS) or (AAS)
Rotating it 90 degrees does not change the size. The image was scaled, yes, so the sides are different, but the angles are the same, and the sides are proportional, assuming that ABC and DEF are similar.

Answer 29

Hey! I already answered this. The SAME exact Question. Don't know if you asked it or someone else...

Answer 30

http://openstudy.com/study#/updates/5210efbfe4b00ebc7dbf1a3d

Answer 31

Keeping it simple.
You can see the Corresponding sides of larger triangle are 2 times that of the smaller triangle.
Example the bottom side of small triangle is 1, and bottom of large triangle is 2. This means it 2 times.

But another change is that the small triangle is horizontally inverted from the Large triangle.