SOLUTION: Given: Angle AXY is congruent to Angle AYX, and Angle AXC is congruent to Angle AYB
Prove:Segment BY is congruent to Segment CX
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-> SOLUTION: Given: Angle AXY is congruent to Angle AYX, and Angle AXC is congruent to Angle AYB
Prove:Segment BY is congruent to Segment CX
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Question 252943: Given: Angle AXY is congruent to Angle AYX, and Angle AXC is congruent to Angle AYB
Prove:Segment BY is congruent to Segment CX Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! Hope this idea works for you. Draw a diagram that meets the criteria. Notice it appears to be a trapezoid.
STATEMENT 1: angle AXY congruent to angle AYX
REASON 1: given
STATEMENT 2: angle AXC congruent to angle AYB
REASON 2: given
STATEMENT 3: angle C congruent angle B.
REASON 3: if the top leg angles of a trapezoid are congruent then there base angles are congruent.
STATEMENT 4: triangle AXC congruent to triangle AYB
REASON 4: AAS postulate
STATEMENT 5: segment BY congruent segment CX
REASON 5: CPCTC
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