**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.

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.

daisy.xoxo619 · Answer

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mathstudent55 · Answer

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

daisy.xoxo619 · Answer

so triangle PIG is not scalene

daisy.xoxo619 · Answer

and the altitude of GI is not PT

mathstudent55 · Answer

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

mathstudent55 · Answer

Then we use the rest of the given.

mathstudent55 · Answer

PT is the altitude by given.
We now have this.

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mathstudent55 · Answer

Angles PTI and PTG are right angles by def of altitude

mathstudent55 · Answer

Triangles PTI and PTG are right triangles.

mathstudent55 · Answer

PT is cong to PT by reflexive

mathstudent55 · Answer

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mathstudent55 · Answer

Tr PTI is cong to tr PTG by HL