Proving Circles. Part 2

[Mathisconfusing101]

Im sorry things got so confusing. I did change them and i saw the words on my screen. But perhaps if I tried to explain what is there...

ok so...
Given: XA is similar to XB; YA is similar to YB

Prove: XO is perpendicular to AB

Statements:



1. XA is similar to XB
2. Arc AX is similar to Arc XB
3. X bisects Arc AB
4. YA is similar to YB
5. Y bisects AB
6. XO is perpendicular to AB

how would I prove this?

 

[pka]

When you use ‘similar’ don’t you really mean congruent?
So this correct:
XA is congruent to XB
Arc AX is congruent to Arc XB, subtended by congruent chords.
Angle XAB congruent to angle XBA, intercept congruent arcs.
Triangle XAY congruent to triangle XBY, SAS.
Angle XYB congruent to angle XYA, corresponding angles.
The angles XAB & XBA are right angles, supplementary-congruent angles.