In quadrilateral abcd, diagonals ac and bd bisect one another:
which statement is used to pr...
Mathematics, 19.01.2020 03:31 julie426
In quadrilateral abcd, diagonals ac and bd bisect one another:
which statement is used to prove that quadrilateral abcd is a parallelogram?
angles abc and bcd are congruent
sides ab and bc are congruent
triangles bpa and dpc are congruent
triangles bpc and cdp are congruent
Answers: 3
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Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc
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