The two-column proof are properties written with reason statements.
How to write two column proofs ?
Two column proof is always written in two columns. This proof is consist of two parts, first one is the statement part which contain the exact statement of theorem and second part is reason part which consist of reason for that particular statement or equation. Both the parts are written in different columns, thus the proof is called as two-column proof.
In the given question , two-column proofs are as below :
for part 7 - Reflexive Property of Segment Congruence
To prove: (AB)' ≅ (AB)'
Proof :
Statements Reasons
segment AB Given
AB = |(AB)'| Definition of segment length
(AB)' = (AB)' Reflexive property
(AB)' ≅ (AB)' Definition of congruent segments
for part 8 - Transitive Property of Angle Congruence
To prove: ∠A ≅ ∠C
Proof :
Statements Reasons
∠A ≅ ∠B Given
∠B ≅ ∠C Given
m∠A = m∠B Definition of congruent angle
m∠B = m∠C Definition of congruent angle
m∠A = m∠C Definition of Transitive property
∠A ≅ ∠C Congruence property
for part 9 - Transitive Property of Segment Congruence
To prove: ∠A ≅ ∠C
Proof :
Statements Reasons
∠A ≅ ∠B Given
∠B ≅ ∠C Given
∠A ≅ ∠C Transitive Congruence property
To know more about Congruence properties, visit:
brainly.com/question/6108628
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