Asked by David
Write a two column proof.
Given: angle STV is congruent to angle TVU, angle STU is congruent to angle UVS.
Prove: Angle SVT is congruent to angle UTV.
Given: angle STV is congruent to angle TVU, angle STU is congruent to angle UVS.
Prove: Angle SVT is congruent to angle UTV.
Answers
Answered by
Steve
Draw a diagram.
SVU = SVT + TVU
STU = STV + UTV
So,
SVT = SVU - TVU
UTV = STU - STV
Since SVU = STU and TVU = STV,
SVT = STU - STV = UTV
SVU = SVT + TVU
STU = STV + UTV
So,
SVT = SVU - TVU
UTV = STU - STV
Since SVU = STU and TVU = STV,
SVT = STU - STV = UTV
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