1. ## Similarity Problems

Hello everyone,
I am new to geometry and am struggling so hard with where to even start with these two problems. I draw the pictures, but that is as far as I can get. About to have a nervous breakdown, and my teacher is zero help and does not mesh with my learning style. I really enjoy algebra and do not want to hate math! help!

Suppose P is a point on side (line segment) AB of (Triangle) ABC between A and B such that (line) PB=AC and m(<ACP = m(<B)- Show that (Triangle) ACP is similar to (Triangle) ABC.
- Use the result of the previous part to show that PB/PA = 1+ PA/PB
- Compute the ratio PB/PA

Suppose K and L are distinct parallel lines, suppose A and B are distinct points K, and suppose C and D are distinct points on L such that (line segments) AC and BD intersect in a point P with (line) AC = 1. Let x = AB and y = CD.
- Show that (Triangle) APB is similar to (Triangle) CPD
- Use the result of the previous part to show that CP/AP = y/x
- Compute (each in terms of x and y) AP and CP