Answer:
D Subtraction Property of Equality
Step-by-step explanation:
Whenever we subtract the same number of expression from both sides of the equation, the equality remains the same.
Reason A. - Consecutive Interior Angles
Reason B. - Substitution Property of Equality
Reason C. - Subtraction Property of Equality
Properties of equality are the attributes that are correct about quantities that are linked or related by an equal to sign
The property of equality that accurately completes Reason B is option C)
C) Substitution Property of Equality
The give flowchart proof is presented using a two columns proof approach as follows;
Statement [tex]{}[/tex] Reason
m∠SQT = 180° [tex]{}[/tex] → Definition of a Straight Angle
m∠SQV + m∠VQT = m∠SQT [tex]{}[/tex] → Angle Addition Postulate
m∠SQV + m∠VQT = 180° [tex]{}[/tex] → Substitution property of equality
m∠VQT + m∠ZRS = 180° [tex]{}[/tex] → Same side interior angles
m∠SQV + m∠VQT = m∠VQT + m∠ZRS → [tex]{}[/tex] Substitution property of equality
m∠SQV + m∠VQT - m∠VQT = m∠VQT + m∠ZRS - m∠VQT → Subtraction Property of Equality
Therefore, we have;
Reason A = Same side interior angles
Reason B = Substitution property of equality
Reason C = Subtraction Property of Equality
Which gives the Property of equality that accurately completes Reason B is option C) Substitution property of equality
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