SOLUTION: NEED HELP WITH PROOF: A PROOF HAS THE FOLLOWING STEPS: 1. 2. 3. MEASURE OF ANGLE K + MEASURE OF ANGLE J = MEASURE OF ANGLE P + MEASURE OF ANGLE 1. 4. MEASURE OF ANGLE A =

Algebra ->  Geometry-proofs -> SOLUTION: NEED HELP WITH PROOF: A PROOF HAS THE FOLLOWING STEPS: 1. 2. 3. MEASURE OF ANGLE K + MEASURE OF ANGLE J = MEASURE OF ANGLE P + MEASURE OF ANGLE 1. 4. MEASURE OF ANGLE A =       Log On


   

Question 98310: NEED HELP WITH PROOF:
A PROOF HAS THE FOLLOWING STEPS:
1.
2.
3. MEASURE OF ANGLE K + MEASURE OF ANGLE J = MEASURE OF ANGLE P + MEASURE OF ANGLE 1.
4. MEASURE OF ANGLE A = MEASURE OF ANGLE K + MEASURE OF ANGLE J
5. MEASURE OF ANGLE F = MEASURE OF ANGLE P + MEASURE OF ANGLE 1.
6. MEASURE OF ANGLE A = MEASURE OF ANGLE F.
THE QUESTION ASKS WHAT THE REASON IS FOR STEP 6?
A. SYMMETRIC PROPERTY OF EQUALITY
B. SUBSTITUTION PROPERTY OF EQUALITY
C. ANGLE ADDITION POSTULATE
D. REFLEXIVE PROPERTY OF EQUALITY
THANKS IN ADVANCE!!! PLEASE GIVE ME THE ANSWER AND WHY IT IS THE ANSWER!!!!
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Answer by mathslover(157) About Me  (Show Source):
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3. MEASURE OF ANGLE K +MEASURE OF ANGLE J=MEASURE OF ANGLE P + MEASURE OF ANGLE 1.
4. MEASURE OF ANGLE A = MEASURE OF ANGLE K + MEASURE OF ANGLE J
5. MEASURE OF ANGLE F = MEASURE OF ANGLE P + MEASURE OF ANGLE 1.
6. MEASURE OF ANGLE A = MEASURE OF ANGLE F.
THE QUESTION ASKS WHAT THE REASON IS FOR STEP 6?
A. SYMMETRIC PROPERTY OF EQUALITY
B. SUBSTITUTION PROPERTY OF EQUALITY
C. ANGLE ADDITION POSTULATE
D. REFLEXIVE PROPERTY OF EQUALITY
the answer is B. Substitution property of equality
Reason
from the statements
3. MEASURE OF ANGLE K +MEASURE OF ANGLE J=MEASURE OF ANGLE P + MEASURE OF ANGLE 1.
4. MEASURE OF ANGLE A = MEASURE OF ANGLE K + MEASURE OF ANGLE J
we have by substituting MEASURE OF ANGLE K + MEASURE OF ANGLE J=MEASURE OF A IN
in 3
MEASURE OF ANGLE A = MEASURE OF ANGLE P + MEASURE OF ANGLE 1.
Now statement 5
5. MEASURE OF ANGLE F = MEASURE OF ANGLE P + MEASURE OF ANGLE 1.
Substituting MEASURE OF ANGLE P + MEASURE OF ANGLE 1 as MEASURE OF ANGLE F in the statement above
MEASURE OF ANGLE A = MEASURE OF ANGLE F which is statement 6