Question

Name the proportion that proves this triangle similar by SSS using the following information to decide:HY=3,YZ=6,HZ=7and YI=3,IJ=12,HJ=14.
A.7/6=14/12=6/3
B.7/14=12/6=3/6
C.7/14=3/6=6/12
D.7/6=3/14=6/12

Answer 1

@jim_thompson5910 Do you know this one?

Answer 2

so you know what the SSS similarity theorem is?

Answer 3

Sort of...

Answer 4

how would you describe it

Answer 5

it's when 3 sides are congruent correct?

Answer 6

that's the SSS congruence theorem

Answer 7

that's used to show 2 triangles are congruent

Answer 8

but now we're focusing on the SSS similarity theorem

Answer 9

oh so when 3 sides are similar right?

Answer 10

getting closer

Answer 11

what do you mean by "similar" though

Answer 12

they look the same,but aren't?

Answer 13

think of a scale drawing

Answer 14

ok

Answer 15

say in real life a tree is 10 ft tall

if you want to draw this tree, you obviously can't draw all 10 ft of it since the page is unlikely to be 10 ft long

Answer 16

so let's say you draw it to make it 1 ft long instead (say the page is pretty big)

so the scale is that you're dividing 10 ft by 10 to get 1 ft

ie the scale is 1:10 (1 ft on the page corresponds to 10 ft)

Answer 17

ok.

Answer 18

to keep things in proportion, you have to divide EVERYTHING in real life by 10 as well

so if a shadow is 6 ft, then 6/10 = 0.6 ft is the length of the shadow on the page

Answer 19

if you have a triangle in real life with dimensions 10, 20, 30

then the triangle with dimensions 1, 2, 3 (divide everything by 10) will be similar

Answer 20

notice how

10/1 = 20/2 = 30/3

they're all equal to the scale factor of 10

Answer 21

Yes I do.

Answer 22

so if you can show that all the corresponding sides divide to the same number, then the two triangles are similar

Answer 23

that's what the SSS similarity theorem says

Answer 24

okay Understood. So, I would say each of the first set of numbers are multiplies by 2 or doubled, but the first one isn't so that wouldn't be correct.. right?

Answer 25

yes, the smaller triangle effectively doubles to get the larger triangle

so that proves the two triangles are similar

Answer 26

or you could go in reverse and say that the larger triangle's dimensions are cut in half to get the smaller triangle

Answer 27

which statement would confirm all this?

Answer 28

C? 7/14=3/6=6/12?

Answer 29

good

Answer 30

Thankyou! :)

Answer 31

you're welcome