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anonymous
 one year ago
Hi I need help with this proof to prove Converse of the SideSplitter Theorem:
Given: XR over RQ = YS OVER SQ
Prove: Line RS is parellel to Line XY
Thanks
anonymous
 one year ago
Hi I need help with this proof to prove Converse of the SideSplitter Theorem: Given: XR over RQ = YS OVER SQ Prove: Line RS is parellel to Line XY Thanks

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Here is a copy of the picture and the statements given.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For 5 the reason would be SAS similarity criterion

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you know what 6 & 7 would be?

phi
 one year ago
Best ResponseYou've already chosen the best response.0as nish states SAS (for similar triangles) see http://www.regentsprep.org/Regents/math/geometry/GP11/LsimilarProof.htm

phi
 one year ago
Best ResponseYou've already chosen the best response.0once you have shown two triangles are similar then you know "corresponding angles" are congruent.

phi
 one year ago
Best ResponseYou've already chosen the best response.0finally, if corresponding angles of a transversal are congruent, the lines are parallel

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Could you also help me with reason 2 & 3? I got those incorrect also. Thanks

phi
 one year ago
Best ResponseYou've already chosen the best response.0I would need a list of the reasons you have learned. in step 2, you add 1 to both sides (in the form RQ/RQ and SQ/SQ) the reason that is ok would read something like " equality remains true when you add equal amounts to both sides" for step 3, you replace XR+RQ with XQ (and also YS+SQ with YQ) the reason would be something like "the whole is the sum of its parts"

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0reason 2 is not substitution

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you help with the Converse of the Side Splitter Theorem proof

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Reason 1. Given Reason 2. A property of proportions Reason 3. Segment addition postulate Reason 4. Congruence of angles is reflexive (this is a theorem) Reason 5. SAS Similarity Reason 6. Definition of similar triangles Reason 7. When two lines are cut by a transversal such that corresponding angles are congruent, then the lines are parallel. (this is a postulate)
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