Question

Triangles ACB and DFE are shown below.
Given: In ∆ACB, c2 = a2 + b2.
Prove: ∆ACB is a right angle.

Complete the flow chart proof with missing reasons to prove that ∆ACB is a right angle.
Which pair of reasons correctly completes this proof?

Reason #1 - Pythagorean Theorem
Reason #2 - Transitive Property of Equality

Reason #1 - Definition of a Right Triangle
Reason #2 - Reflexive Property of Equality

Reason #1 - Pythagorean Theorem
Reason #2 - Reflexive Property of Equality
Reason #1 - Definition of a Right Triangle
Reason #2 - Transitive Property of Equality

Answer 1

Reason #1 - Pythagorean Theorem
Reason #2 - Transitive Property of Equality
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The reason for f^2 = d^2 + e^2 is clearly the Pythagorean Theorem.

For the second reason, c^2 = (a^2 + b^2) but (a^2 + b^2) = f^2, so c^2 = f^2 by the Transitive Property of Equality

Answer 2

So the first one?

Answer 3

yes :D

Answer 4

Thank yoooooou :D