QUESTION IMAGE
Question
use the figure and flowchart proof to answer the question:
points s, q, r, and t all lie on the same line
given
m∠sqt = 180°
definition of a straight angle
m∠sqv + m∠vqt = m∠sqt
angle addition postulate
m∠sqv + m∠vqt = 180°
substitution property of equality
uv || wz
given
m∠vqt + m∠zrs = 180°
reason a
m∠sqv + m∠vqt = m∠vqt + m∠zrs
reason b
m∠sqv + m∠vqt - m∠vqt = m∠vqt + m∠zrs - m∠vqt
m∠sqv = m∠zrs
reason c
∠sqv ≅ ∠zrs
definition of congruence
which property of equality accurately completes reason c?
addition property of equality
Reason C corresponds to the step where $m\angle VQT$ is subtracted from both sides of the equation $m\angle SQV + m\angle VQT = m\angle VQT + m\angle ZRS$, resulting in $m\angle SQV = m\angle ZRS$. This action follows the Subtraction Property of Equality, which states that if you subtract the same quantity from both sides of an equal equation, the equality still holds.
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Subtraction Property of Equality