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Mariulka [41]
4 years ago
10

Fred and Victoria provide the following proofs for vertical angles to be equal.

Mathematics
2 answers:
Delvig [45]4 years ago
5 0
Both Fred and Victoria are correct.
mina [271]4 years ago
4 0

Answer:

Both Fred and Victoria's proofs are correct.


Step-by-step explanation:

Fred's proof:

  • angle 2 + angle 3 = 180° (t is a straight line) IT IS TRUE THAT t IS A STRAIGHT LINE
  • angle 1 + angle 2 = 180° (PQ is a straight line) IT IS TRUE THAT PQ IS A STRAIGHT LINE
  • Therefore, angle 1 + angle 2 = angle 2 + angle 3 (Transitive Property of Equality) THIS IS AN EXAMPLE OF THE TRANSITIVE PROPERTY OF EQUALITY
  • Hence, angle 1 = angle 3 (Subtraction Property of Equality)THIS IS AN EXAMPLE OF THE SUBTRACTION PROPERTY OF EQUALITY

Victoria's proof:

  • angle 1 + angle 4 = 180° (t is a straight line) <u>TRUE</u>
  • angle 1 + angle 2 =180° (PQ is a straight line) <u>TRUE</u>
  • Therefore, angle 1 + angle 2 = angle 1 + angle 4 (Transitive Property of Equality)<u> TRUE</u>
  • Hence, angle 2 = angle 4 (Subtraction Property of Equality) <u>TRU</u>
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Answer:

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3x + 3z= – 5            B

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5 0
4 years ago
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