Question

Guys can somebody help with a problem, I will be a fan!!!!!!!!

Matt is constructing two similar triangles for an art project. The drawing below shows Matt's plans, but there is an error in his drawing. What changes would he make to the dimensions to change the error? Explain your reasoning using complete sentence

Answer 1

Yes, well, these are similar triangles, after all...

Answer 2

At least they SHOULD be.
What do you know about similar triangles?

Answer 3

n mathematics, polygons are similar if their corresponding (matching) angles are congruent (equal in measure) and the ratio of their corresponding sides are in proportion.

Answer 4

That looks suspiciously copied and pasted from somewhere... try to say it in your own words :D

Answer 5

Ummm yeahhhhhhhhhhhhhhhhh, well...you got me, I cant put things into words as I said lol

Answer 6

same shape same size

Answer 7

corresponding angles

Answer 8

Well let me put it this way... when two triangles (or any polygons, for that matter) are similar, it means their corresponding parts, even though they might not be congruent, are in proportion. What it means is that when you divide two corresponding sides, the quotient has to remain the same.

Answer 9

ok

Answer 10

In your two triangles, AC corresponds with DF, yes?
What is the quotient of these two sides?

Answer 11

So i should find the propotion ratios and make sure they match

Answer 12

yes 2/3

Answer 13

a 2 to 3 ratio

Answer 14

Good.
What about BC and EF?

Answer 15

1.5

Answer 16

BC and EF?
7 and 10.5?
Try to divide again :D

Answer 17

ummmmmmmm

Answer 18

i got 1.5

Answer 19

It's still coming out like that

Answer 20

IDK i'm dum

Answer 21

You're not... never ever admit that ^_^

Answer 22

Just give it to me

Answer 23

All right, I see what's wrong here... You must be CONSISTENT when it comes to dividing ^^
Earlier, when you had 6 and 9, you divided the smaller by the larger and got 2/3, which is fine.

But you HAVE TO do the same thing for the rest, so that you get results... so, divide the smaller by the larger instead.

7 and 10.5
What do you get?

Answer 24

.66

Answer 25

Ahh I see

Answer 26

2/3.
Right?

So far so good, we have 2/3 on two pairs of sides.
Now let's go to the third.

AB and DE.

We have 4.5 and 7.5

Divide the smaller by the larger, what do you get?

Answer 27

and for AB and DE I got .6

Answer 28

Which isn't right, is it?
You're supposed to get 2/3 or 0.666666...

So what to do? ^_^

Answer 29

.66

Answer 30

that one is right...

Answer 31

Pardon?

Answer 32

So I see what he did wrong

Answer 33

He scaled it wrong

Answer 34

On one side he did .66 (reapeating) and on another .6

Answer 35

Yes. See, in all these instances, the smaller side is 2/3 of the larger side.

6 is two-thirds of 9
7 is two-thirds of 10.5

But 4.5 is NOT two-thirds of 7.5

Then what is? ;)

Answer 36

.66 (reapting

Answer 37

Yes, I know, but what is two-thirds of 7.5?

Answer 38

ummm

Answer 39

give me a sec

Answer 40

this is my answer

Answer 41

So in order to prove this I found the ratios for the corresponding sides. So he I can clearly see the problem, He scaled it incorrectly. He is my best explination without having to use a lot of words. He used the corresponding sides

AC and DF have a scale factor of 2/3 (.66) 6 divided by 9=.66(reapeting)

BC and EF have a scale factor of 2/3 (.66) 4.5 divided by 10.5 =.66 (reapeting)

AB and DE have a scale factor .6 . 4.4 divded by 7.5 equals .6. so this is the problem. He needs to scale it by 2/3 or .66 (reapting) to rececieve his answer

Answer 42

can you help with just one more

Answer 43

It's correct. Let's move on XD