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anonymous

  • 5 years ago

Congruent Proof Theorem

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  1. anonymous
    • 5 years ago
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    Given: ∟Y and ∟RST are supplementary to ∟XSZ, XY TS, ∟RTS ∟RXY Prove: RX bisects ∟YRT |dw:1327192324410:dw|

  2. anonymous
    • 5 years ago
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    Are you there?

  3. anonymous
    • 5 years ago
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    First note that the measure of angle XST + Measure of angle XSZ form a straight line and therefore have a sum of 180 degrees. We can then state that angle XST is supplementary to angle XSZ. This indicates that angle XST is congruent to angle Y which is also supplementary to angle XSZ. We now can state that the triangles RXY and RTS are Congruent using Angle - Side - Angle. Since the Triangles are congruent, the corresponding parts are congruent. This means that angle YRX is congruent to angle XRT which indicates that RX is a bisector of the angle YRT..

  4. anonymous
    • 5 years ago
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    Thank you so much!

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