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According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD..
Using a straightedge, extend segment AB and place point P above point B.
By the same reasoning, extend segment AD and place point T to the left of point A.
Angles BCD and PBC are congruent by the Alternate Interior Angles Theorem. Angles PBC and BAD are congruent by the Corresponding Angles Theorem.
By the __________ Property of Equality, angles BCD and BAD are congruent. Angles ABC and BAT are congruent by the Alternate Interior Theorem.
Angles BAT and CDA are congruent by the Corresponding Angles Theorem. By the __________ Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent. What properties accurately complete the proof?


Addition
Transitive

Reflexive
Reflexive

Substitution
Reflexive

Transitive
Transitive

Respuesta :

By the TRANSIVE property and the addition property
londynnorth

Answer:

Transitive and Transitive

Step-by-step explanation:

By the TRANSITIVE Property of Equality, angles BCD and BAD are congruent. Angles ABC and BAT are congruent by the Alternate Interior Theorem.  

Angles BAT and CDA are congruent by the Corresponding Angles Theorem. By the TRANSITIVE Property of Equality, ∠ABC is congruent to ∠CDA.

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