Question

**help will medal and fan**
write indirect proof
G: triangle PIG is scalene
PT is the alt to IG
P:PT is not the median of IG.

Answer 1

In an indirect proof, you always start by assuming the opposite of the given is true.

Answer 2

so triangle PIG is not scalene

Answer 3

and the altitude of GI is not PT

Answer 4

No.
We just assume it is not scalene, and we also assume that it is isosceles with PI = PG.

Answer 5

Then we use the rest of the given.

Answer 6

PT is the altitude by given.
We now have this.

Answer 7

Angles PTI and PTG are right angles by def of altitude

Answer 8

Triangles PTI and PTG are right triangles.

Answer 9

PT is cong to PT by reflexive

Answer 10

Tr PTI is cong to tr PTG by HL