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complete the proof. 9. (mangle mnp = mangle dfg) 10. definition of cong…

Question

complete the proof.

  1. (mangle mnp = mangle dfg)
  2. definition of congruence

Explanation:

Step1: Recall congruence definition

Two angles are congruent if and only if their measures are equal. Given \(m\angle MNP=m\angle DFG\) in statement 9.

Step2: Determine statement for reason

The statement corresponding to the reason "Definition of Congruence" should be \(\angle MNP\cong\angle DFG\) since the equality of the angle - measures (\(m\angle MNP = m\angle DFG\)) implies the congruence of the angles according to the definition of congruence.

Answer:

  1. Reason: Given
  2. Statement: \(\angle MNP\cong\angle DFG\)