Homework Help: Geometry..

Posted by Wendell on Tuesday, July 26, 2011 at 8:59pm.

Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2).
Prove: angles ABC and RPQ are congruent by completing the paragraph proof.

AB=RP=13, BC=(?)=53, and CA=QR=26. So segment AB is congruent to (?), segments BC and PQ are congruent and segment CA is congruent to segment QR. Therefore triangle ABC is congruent to (?) by (?), and angles ABC and RPQ are congruent by (?).

AB = Бу[(5-3)^2 + (2+1)^2] = Бу(4+9) = Бу13
RP = Бу([-3+6)^2 +(4-2)^2] = Бу(9+4) = Бу13

BC = Бу[(5+2)^2 + (2-0)^2] = Бу(49+4) = Бу53
PQ = Бу[-3+5)^2 + (4+3)^2] = Бу(4+49) = Бу53

AC = Бу[3+2)^2 + (-1-0)^2] = Бу(25+1) = Бу26
RQ = Бу[(-6+5)^2 + (2+3)^2] = Бу(1+25) = Бу26

clearly we have corresponding pairs of sides equal, so by SSS, ∆ABC≅∆RPQ

I guess I don't understand how to write the answer.

Angle ABC is congruent to RPQ by____? and angles ABC and RPQ are congruent by _____?

Geometry.. - Henry, Wednesday, July 27, 2011 at 7:13pm
Check your 7-25-11,9:25am post.

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