Question

So tired with a major headache DX Please help :)
I'll obviously give a medal.

Determine whether the pair of figures are similar. Explain your reasoning.

a. No, the shapes are not similar because they are different sizes.
b. Yes, they are similar because they are both rectangles.
c. Yes they are similar because they have proportional side lengths and equal angle measures.
d. No, they are not similar because we don't know the measure of their angles.

Answer 1

notice how XY is 4 units long while EF is 8 units long

Answer 2

what is the ratio of XY to EF ?

Answer 3

Im not sure how to answer this question, do you mean from x to y and from e to f or XY TO EF?

Answer 4

the segments XY to EF

so that ratio would be 4:8 or 1:2

that simply means XY is half as long as EF...or...EF is twice as long as XY

Answer 5

hopefully you see how I got that?

Answer 6

Lmaoo yes i do, sorry I'm a little off i have a headache.

Answer 7

So are they are similar?? or not ?

Answer 8

how about the ratio of XW to ED ?

Answer 9

Im kinda guessing that its the same?

Answer 10

why would it be the same?

Answer 11

Wait would it be 7.5:15 ?

Answer 12

what does that reduce to

Answer 13

divide both pieces by 7.5

Answer 14

ok 1:2?

Answer 15

so the ratio is the same

Answer 16

because the ratio of the corresponding sides is the same

and

because the angles are the same

this means that we have 2 similar figures

Answer 17

the bigger rectangle is simply the smaller rectangle but each side has been doubled

Answer 18

To simplify write down the factors of numerator and denominator.

Find the greatest common factors of both numerator and denominator.

Then divide the numerator and denominator by that greatest common factor. right?

Answer 19

you mean to reduce a fraction?

Answer 20

if so, then that sounds right

Answer 21

Well no, if you look up on google how to simplify ratios thats how it shows you

Answer 22

oh yeah that's because ratios and fractions are very similar

Answer 23

example: 1/2 is the ratio 1:2

Answer 24

oh ok i was kind of confused right there lol Thank you so much for your help, i believe the answer is C

Answer 25

good "Yes they are similar because they have proportional side lengths and equal angle measures." is correct

Answer 26

B is close but not all rectangles are similar (a lot of people mix that rule up with triangles)