Question

The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:


According to the given information, and . 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.

Which sentence accurately completes the proof? (4 points)

Answer 1

a. Angles ABC and CDA are corresponding parts of congruent triangles, which are congruent (CPCTC).
b. Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent).
c. Angles BAC and DCA are congruent by the Same-Side Interior Angles Theorem.
d. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem.

Answer 2

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Answer 3

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Answer 4

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Answer 5

did you get the answer

Answer 6

no :(