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OpenSessame

  • one year ago

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

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  1. OpenSessame
    • one year ago
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  2. OpenSessame
    • one year ago
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    @Directrix

  3. Directrix
    • one year ago
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    Is this --> APO = BPO supposed to be △APO ≅ △BPO ?

  4. OpenSessame
    • one year ago
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    Yes i didnt know how to write the triangle thing...

  5. OpenSessame
    • one year ago
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    I know how to do B but a is were im confused...

  6. Directrix
    • one year ago
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    First, the marked up diagram.

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  7. Directrix
    • one year ago
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    I'll do the statements; you do the reasons after I get the statements posted.

  8. OpenSessame
    • one year ago
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    OKay!

  9. OpenSessame
    • one year 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.

  10. Directrix
    • one year ago
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    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. Directrix
    • one year ago
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    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.

  12. OpenSessame
    • one year ago
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    Just saw that lol, three because they are tangents so they touch the other line at 90 degrees

  13. Directrix
    • one year ago
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    How about those reasons - you have more to do.

  14. OpenSessame
    • one year ago
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    Im seriously lost at theorems and things thats mainly what i need help with...

  15. Directrix
    • one year ago
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    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.

  16. OpenSessame
    • one year ago
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    Ugh:( I hate Geometry lol...

  17. Directrix
    • one year ago
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    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.

  18. Directrix
    • one year ago
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    You're up for part 2.

  19. OpenSessame
    • one year ago
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    For part two...

  20. OpenSessame
    • one year 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.

  21. Directrix
    • one year ago
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    I think 116 is correct.

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  22. OpenSessame
    • one year ago
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    Okay :)

  23. Directrix
    • one year ago
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    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.

  24. OpenSessame
    • one year ago
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    im studing for the final so like everything...

  25. OpenSessame
    • one year ago
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    Tmrw...

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