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?
Reason C corresponds to the step where $\angle VQT$ is subtracted from both sides of the equation $m\angle SOV + m\angle VQT = m\angle VQT + m\angle ZRS$ to get $m\angle SOV = m\angle ZRS$. This action is defined by 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.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
Subtraction Property of Equality