1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

More geometry help.

  1. Jul 24, 2006 #1
    yeah, sorry. i'm in a desperate bind. i have like 8 different assignments due wednesday, and i don't know how to do any of them, and my teacher in summer school couldn't help me.

    [​IMG]

    Given: AF is perpendicular to AR; OG is perpendicular to RO; AO bisects FG

    Prove: RO is congruent AR

    Statement:

    1. AF is perpendicular to AR; OG is perpendicular to RO

    2. angle A and angle O are right triangles

    3. triangleFAR and triangleGOR are right triangles

    4. AO bisects FG (Given)

    5. RG is congruent to RF

    6. triangle FRA is congruent to triangle GRO

    7. triangleFAR and triangleGOR are congruent

    8. RO is congruent to AR

    Choose the correct reasons for the statements above.

    a.1. Given; 2. Definition of perpendicular lines; 3. Definition of right triangles; 5. AAS postulate; 6. Vertical angle theorem; 7. Segment bisector; 8. CPCTC

    b.1. Given; 2. Definition of perpendicular lines; 3. Definition of right triangles; 5. Segment bisector; 6. Vertical angle theorem; 7. AAS postulate; 8. CPCTC

    c. 1. Given; 2. Definition of vertical angles; 3. Definition of right angles; 5. AAS postulate; 6. Segment bisector; 7. Vertical angle theorem; 8. CPCTC

    i said it was a.
     
    Last edited: Jul 24, 2006
  2. jcsd
  3. Jul 24, 2006 #2

    0rthodontist

    User Avatar
    Science Advisor

    First, #6 should read angle FRA is congruent to angle GRO.

    a, b, and c are the same up until #5. What does the AAS postulate say and what does it mean to say something is a segment bisector?
     
  4. Jul 24, 2006 #3
    If two angles & a nonincluded side of one triangle are congruent to two angles & the corresponding nonincluded side of a second triangle, then the two triangles are congruent.

    a segment that divides a line into two equal parts.

    so i think this makes 5 a segment bisector.
    & makes 7. aas.

    sorry if i'm being really stupid.
     
  5. Jul 24, 2006 #4

    0rthodontist

    User Avatar
    Science Advisor

    Yes, that's right.

    Actually in the AAS it doesn't matter whether the side is nonincluded or not--if you know 2 angles are the same between the two triangles you also know the 3rd angle is the same.
     
  6. Jul 24, 2006 #5
    thank you very much.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: More geometry help.
  1. Geometry help needed (Replies: 0)

  2. Help with Geometry (Replies: 3)

  3. Geometry Help? (Replies: 1)

  4. Geometry HELP PLEASE! (Replies: 11)

Loading...