John A.

asked • 10/24/20

Given: PS = RT, PQ = ST Prove: QS = RS

  1. PS = RT, PQ = ST
  2. PQ+QS=PS
  3. ST+QS=RT
  4. RS+ST=RT
  5. ST+QS=RS+ST
  6. QS=RS

John A.

Please help me cause my teacher doesn’t explain this topic
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10/24/20

Philip P.

tutor
Is there a figure? We would need to see the relation of all the points.
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10/24/20

1 Expert Answer

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Mark M. answered • 10/24/20

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  1. PS = RT, PQ = ST Give?
  2. PQ+QS=PS Segment Addition
  3. ST+QS=RT False - should be ST + QS = PS by Substitution
  4. RS+ST=RT Segment Addition
  5. ST+QS=RS+ST Equal of equals are equal
  6. QS=RS Subtraction Property of Equality

Because of the error in 3 the proof is incorrect, i.e. QS ≠ RS (draw a diagram!)


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