Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

that1chick

  • 2 years ago

Tell me if this is right!? (: Write a 2-column, paragraph, or flow-chart proof to show that vertex angles of a kite are bisected by the diagonal. Statement: Reason: 1. triangle PSR is congruent to PQR 1. SSS congruency 2. ∠QPS = ∠QPR + ∠SPR and ∠QRS = ∠QRP + ∠SRP 2. Definition of a Kite 3. the corresponding angles are congruent 3. CPCTC

  • This Question is Closed
  1. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1 Attachment
  2. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @JakeV8

  3. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    which angles on the kite are considered the "vertex angles"?

  4. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    they're top and bottom angles

  5. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the ones bisected

  6. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    The top and bottom angles can't be congruent with each other... the top is practically always "fatter" than the bottom of a kite. If they were congruent, it would look more like a straight diamond.

  7. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    true...

  8. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    But that's not what you need to prove... You just need to prove that the vertex angles (which probably aren't congruent) are both bisected by the kite diagonal.

  9. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes!(:

  10. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I can't remember "SSS congruency".... that might be ok. I would have started with a statement that PR = PR by "Reflexive" I think you can probably state that the angles at Q and S are congruent by the definition of a kite... (I don't know, I didn't take Kite Geometry) Then maybe you can use side PR and the congruent angles Q and S to show that the two side triangles are congruent. If they are congruent, then corresponding angles of congruent triangles are congruent. The small half-angles that are the result of the diagonal bisector PR are corresponding to each other... and since the triangles are congruent, those angles are congruent. Last step, state the angles are bisected because the two partial angles are congruent, by reason of "definition of a bisector" or something like that. I'm sorry I don't know it exactly... it's been awhile since I did geom proofs

  11. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Thanks (:

  12. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    hope it helped... it was a bit rambly, but maybe the reasoning can remind you of the "official" names of the reasons you are supposed to use. I am good at seeing that it is true, but less good at providing the "approved geometry reasons" for the proof.

  13. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    This one has me really confuzzled :/

  14. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Statement: Reason: 1. PR = PR 1. Reflexive 2. ∠Q = ∠S 2. Definition of Kite 3. PS = PQ 3. Definition of Kite 4. triangle PSR is congruent 4. CPCTC to triangle PQR 5. ∠QPR = ∠SPR and ∠QRP = ∠SRP 5. Definition of Congruent Triangles 6. PR bisects ∠QPS and ∠QRS 6. Definition of a Bisector

  15. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    look good?

  16. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1. Reflexive Property of Equality

  17. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @JakeV8

  18. that1chick
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Thanks for helping me :DD

  19. JakeV8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I think reason 5 should be CPCTC... you are saying the two angles are congruent BECAUSE they are corresponding parts of congruent triangles. Also, I think reason 4 might need to be something like SSA... "side side angle" but I can't remember that for sure... Otherwise, it looks good... good persistence :)

  20. Not the answer you are looking for?
    Search for more explanations.

    Search OpenStudy
    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.