Question

Consider similar figure QRS and TUV below Where QRS is the pre image of TUV.Part A: What is the scale factor ? Part B:Find the the length of RS.

Answer 1

Consider similar figure QRS and TUV below Where QRS is the pre image of TUV.Part A: What is the scale factor ? Part B:Find the the length of RS.​

Part A

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

so

In this problem

we have that

QS/TV=QR/TU=RS/UV

that means, that the scale factor is

scale factor=TV/QS

substitute the given values

scale factor=2.8/7=0.4

scale factor=0.4

Part B

Find the the length of RS

we have that

The length of RS is equal to the length of UV divided by the scale factor

so

RS=5.7/0.4

RS=14.25

Part 2