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What is the missing justification in the proof?

ASymmetric property of equality
BSubstitution property of equality
CReflexive property of equality
DTransitive property of equality

What is the missing justification in the proof? A) Symmetric property of equality B) Substitution property of equality C) Reflexive property of equality D) Tran class=

Verified Answer :

MissPhiladelphia

The missing justification in the proof is
B) Substitution property of equality

The expression for sin² x and cos² x is substituted to the other side of the equation. Since sin x = a/c, then sin² x = a²/c². Similarly, since cos x = b/c, then cos² x = b²/c². Adding to two results to the third statement.

The correct answer is:


B) Substitution property of equality


Explanation:


sin²x and cos²x have been added together, making

sin²x + cos²x.


Since we know that sin x = a/c, this means that sin²x = (a/c)² = a²/c².

Since we know that cos x = b/c, this means that cos²x = (b/c)² = b²/c².


These two values have been substituted for sin²x + cos²x, making

a²/c² + b²/c².


Since we substituted, this means it is the substitution property of equality.

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