Hi I need help with this proof to prove Converse of the Side-Splitter Theorem:
Given: XR over RQ = YS OVER SQ
Prove: Line RS is parellel to Line XY
Stacey Warren - Expert brainly.com
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as nish states SAS (for similar triangles)
once you have shown two triangles are similar then you know
"corresponding angles" are congruent.
finally, if corresponding angles of a transversal are congruent, the lines are parallel
Could you also help me with reason 2 & 3? I got those incorrect also. Thanks
I 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"
reason 2 is not substitution
Can you help with the Converse of the Side Splitter Theorem proof
Reason 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)