Question

According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD. Construct diagonal A C with a straightedge. It is congruent to itself by the Reflexive Property of Equality. ________________. Angles BCA and DAC are congruent by the same reasoning. Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent.

Answer 1

Which sentence accurately completes the proof?

A) Triangles BCA and DAC are congruent according to the Angle-Angle-Side (AAS) Theorem.

B) Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem.

C) Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent).

D) Angles BAD and ADC, as well as angles DCB and CBA, are supplementary by the Same-Side Interior Angles Theorem.

Answer 2

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Answer 3

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