Question

Fan & Metal to right answers =]
Geometry...

Answer 1

For number 2, every polygon has as many lines of symmetry as there are lines in the polygon. There are 40 sides (lines) in the polygon so...

Answer 2

40 is the answer for that one. Was hoping you'd say it.

The 1st question is a little more difficult.

Answer 3

It reflects over y = -x

Answer 4

Think of a graph with a negative x slope. It's a diagonal line. When you have y = x, you just swap the values (x,y) turns to (y,x), but you have a negative so it's (-y,-x).

This gives (3,8).

Answer 5

Then we have a translation which is just a shift of the entire body. It is being shifted -2 in the x direction and -5 in the y. So (3,8) becomes (1,3)

Answer 6

I hope that's right at least. The other possibility is (1,13). I will review and post a definite answer in a bit.

Answer 7

Reflecting over -x turns (x,y) into (-y,-x)
so (-8,-3) turns into (3,8)
Translating it (x-2,y-5)
(3-2,8-5) = (1,3).
I'm confident on the answer now.

Answer 8

In summary the answer is (1,3) for number 1
and 40 for number 2 (20 lines of symmetry through opposite vertices and 20 through the centers of opposite sides)

Answer 9

Sorry I didn't respond!!! I got off. Thank you SO much for taking time to explain!!

Answer 10

Anytime. Glad I could help!