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In circle O, PA and PB are tangents.
a. Prove APO = BPO .
b. Find m BOD for m AOP = 64. Explain your reasoning.
 11 months ago
 11 months ago
OpenSessame Group Title
In circle O, PA and PB are tangents. a. Prove APO = BPO . b. Find m BOD for m AOP = 64. Explain your reasoning.
 11 months ago
 11 months ago

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@Directrix
 11 months ago

Directrix Group TitleBest ResponseYou've already chosen the best response.2
Is this > APO = BPO supposed to be △APO ≅ △BPO ?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Yes i didnt know how to write the triangle thing...
 11 months ago

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I know how to do B but a is were im confused...
 11 months ago

Directrix Group TitleBest ResponseYou've already chosen the best response.2
First, the marked up diagram.
 11 months ago

Directrix Group TitleBest ResponseYou've already chosen the best response.2
I'll do the statements; you do the reasons after I get the statements posted.
 11 months ago

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OKay!
 11 months ago

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Okay the first is given. and the second is a rule i cant but my finger on the name but says that if a circle has two tangents they are perpendicular.
 11 months ago

Directrix Group TitleBest ResponseYou've already chosen the best response.2
1. Circle O with tangents PA and PB 2. Segment AO is perpendicular to Segment PA Segment OB is perpendicular to Segment PB 3. △APO and △BPO are right triangles 4. PA = PB 5. PO = PO 6. △APO ≅ △BPO  <POA ≅ <POB
 11 months ago

Directrix Group TitleBest ResponseYou've already chosen the best response.2
1. Given 2. If a radius is drawn to a tangent to a circle at the point of tangency, the the radius is perpendicular to the tangent. 3.
 11 months ago

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Just saw that lol, three because they are tangents so they touch the other line at 90 degrees
 11 months ago

Directrix Group TitleBest ResponseYou've already chosen the best response.2
How about those reasons  you have more to do.
 11 months ago

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Im seriously lost at theorems and things thats mainly what i need help with...
 11 months ago

Directrix Group TitleBest ResponseYou've already chosen the best response.2
You'll need to study them and then to learn them. There's just no getting around that in Geometry. They come back after proofs in the form of problems to work.
 11 months ago

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Ugh:( I hate Geometry lol...
 11 months ago

Directrix Group TitleBest ResponseYou've already chosen the best response.2
1. Given 2. If a radius is drawn to a tangent to a circle at the point of tangency, the the radius is perpendicular to the tangent. 3. Definition of right triangles. 4. Tangents drawn to a circle from an outside point are congruent. 5. Reflexive Property 6. HL (Hypotenuse Leg) Theorem You'll need this for part two which you said you had done. <POA ≅ <POB Corresponding parts of congruent triangles are congruent.
 11 months ago

Directrix Group TitleBest ResponseYou've already chosen the best response.2
You're up for part 2.
 11 months ago

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For part two...
 11 months ago

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Since AOP and AOB are congruent you can think of AOB as 64 too. Now these two angles make a straight line and a straight line is 180 degrees so the two angles added together must be 180. 180 – 64 = 116 degrees is <BOD.
 11 months ago

Directrix Group TitleBest ResponseYou've already chosen the best response.2
I think 116 is correct.
 11 months ago

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Okay :)
 11 months ago

Directrix Group TitleBest ResponseYou've already chosen the best response.2
I don't know which theorems your class has studied up until this point but I think the ones in the proof will be okay. After you study them more, then we can talk about their application. You obviously know many of them but are a little rusty on others. No big deal. Just make yourself study them.
 11 months ago

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im studing for the final so like everything...
 11 months ago

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Tmrw...
 11 months ago
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