Mathematics, 29.07.2021 08:00 samiyahbass
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 . By the Transitive Property of Equality, angles BCD and BAD are congruent. Angles ABC and BAT are congruent by the . Angles BAT and CDA are congruent by the Corresponding Angles Theorem. By the Transitive Property of Equality,∠ABC is congruent to∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent.
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According to the given information, segment AB is parallel to segment DC and segment BC is parallel...
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