Question

Which of the following could represent the scale factor of the larger figure to the smaller figure?
15:9
5:3
3:2
21:14
2:3
20:30

Answer 1

g

Answer 2

if the scale factor is \(\color{cyan} {a:b}\) then that means that if you multiply the dimensions(or lengths) of the first figure by \(\color{cyan}a \) it would be equal to the correposonding dimension(or length) in second figure multiplied by \(\color{cyan} b\)

Answer 3

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Katy
how to do that?
\(\color{#0cbb34}{\text{End of Quote}}\)
the problem is to find the scale factor

Answer 5

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Katy
what are the lengths?
\(\color{#0cbb34}{\text{End of Quote}}\)
can you find two corresponding lengths in the given figure?

Answer 6

good.
The next step is to find the ratio of these corresponding sides.

Make sure you find the ratio as \(\large{\frac{larger ~figure}{smaller~figure}}\) because it's mentioned in the question.

Answer 7

yeah, simplify those ratios further

Answer 8

cancel out the common factors

Answer 9

find the common factor

Answer 10

yeah

Answer 11

divide the numerator and denominator by the common factors until it can't be simplified any futher

Answer 12

no

Answer 13

\(\Large{\frac{\frac{30}{10}}{\frac{20}{10}}}\)

Answer 14

like this

Answer 15

yes

Answer 16

yeah, what do you get on simplification?

Answer 17

yes.

Answer 18

when did you get 2:3?

Answer 19

how did you get 21:14?

Answer 20

that is correct.

Answer 21

3:2, and 21:14?

Answer 22

yup