Regular pentagon A B C D E is similar to M N O P Q. If line segment A B equals 2 centimeters and line segment O P equals 8 centimeters, what is the scale factor between A B C D E and M N O P Q?

zero point five

2

4

not enough information

Question

Regular pentagon A B C D E is similar to M N O P Q. If line segment A B equals 2 centimeters and line segment O P equals 8 centimeters, what is the scale factor between A B C D E and M N O P Q?

 zero point five

 2

 4

 not enough information

anonymous · Answer

Regular shapes all have the same side lengths, so a regular pentagon will have 5 sides, all of same length. So that means if AB is 2cm, then BC, CD, DE, EA are all 2cm as well. The same thing can be applied to the other pentagon with side length 8cm, correct?

anonymous · Answer

yea so it would be d corect? @cormacpayne

anonymous · Answer

So let's see what we have, we now have a pentagon that has side lengths of 2cm, and another with side lengths of 8cm, correct?

anonymous · Answer

Is there any number you can multiply the side lengths of the 2cm pentagon to make it into the 8cm pentagon?

anonymous · Answer

the scale factor?

anonymous · Answer

the scale factor is 4

anonymous · Answer

Correct, the scale factor is what you would multiply the smaller pentagon by to make the larger pentagon. So now if you wanted to go from 2cm side lengths to 8cm side lengths, what number would you multiply the 2m pentagon by to get there?

anonymous · Answer

ahhh so its 4

anonymous · Answer

Exactly!