A translation maps A to A' and B to B'. We know AA' = 3, AB = 4, AB' = 5. Find BA'.

A pentagon ABCDE is translated north by 40 units to pentagon A_{1}B_{1}C_{1}D_{1}E_{1}. Pentagon A_{1}B_{1}C_{1}D_{1}E_{1} is then translated east by 50 units to pentagon A_{2}B_{2}C_{2}D_{2}E_{2. }We know the perimeter of pentagon ABCDE is 30 units. Find CC_{2}.

A and B are two points on a plane. A translation maps A to B and B to B'. Another translation maps B to A and A to A'. We know A'B' = 16. Find AB.

Guest Apr 16, 2019

#1**0 **

1.

2. This one to me is a bit simpler, so you can try it out.

Think of it as a pythagorean triangle, draw a line from C to C_{1} and C_{1 }to C_{2}. It creates a right angle, so using this you can find the "hypotenuse."

When simplified, the answer is a radical.

3. If A'B' = 16 and A'B' = 3AB, what's AB? Easy problem.

Images from AoPS, thank you!

You are very welcome!

:P

CoolStuffYT Apr 17, 2019