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August 28, 2014

August 28, 2014

Posted by **Wendell** on Tuesday, July 26, 2011 at 1:00am.

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 (?).

- Geometry -
**Reiny**, Tuesday, July 26, 2011 at 8:29amAB = √[(5-3)^2 + (2+1)^2] = √(4+9) = √13

RP = √([-3+6)^2 +(4-2)^2] = √(9+4) = √13

BC = √[(5+2)^2 + (2-0)^2] = √(49+4) = √53

PQ = √[-3+5)^2 + (4+3)^2] = √(4+49) = √53

AC = √[3+2)^2 + (-1-0)^2] = √(25+1) = √26

RQ = √[(-6+5)^2 + (2+3)^2] = √(1+25) = √26

clearly we have corresponding pairs of sides equal, so

by SSS, ∆ABC≅∆RPQ

(Your length of 13, 53, and 26 should have been √13, √53, and √26)

- Geometry -
**Wendell**, Tuesday, July 26, 2011 at 2:59pmI guess I don't understand how to write the answer.

- Geometry -
**Wendell**, Tuesday, July 26, 2011 at 3:06pmAngle ABC is congruent to RPQ by____? and angles ABC and RPQ are congruent by _____?

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