Proving a Quadrilateral Is a Parallelogram

Question 1

By a similar argument used to prove that △AEB ≅ △CED, we can show that △ ≅ △CEB by. So, ∠CAD ≅ ∠ by CPCTC. Therefore, AD || BC by the converse of the theorem. Since both pair of opposite sides are parallel, quadrilateral ABCD is a parallelogram.

Revolt · Accepted Answer

AED; By a similar argument used to prove that △AEB ≅ △CED, we can show that △ ≅ △CEB by. So, ∠CAD ≅ ∠ by CPCTC. Therefore, AD || BC by the converse of the theorem. Since both pair of opposite sides are par: AED; By a similar argument used to prove that △AEB ≅ △CED, we can show that △ ≅ △CEB by. So, ∠CAD ≅ ∠ by CPCTC. Therefore, AD || BC by the converse of the theorem. Since both pair of opposite sides are par: SAS; By a similar argument used to prove that △AEB ≅ △CED, we can show that △ ≅ △CEB by. So, ∠CAD ≅ ∠ by CPCTC. Therefore, AD || BC by the converse of the theorem. Since both pair of opposite sides are par: ACB; By a similar argument used to prove that △AEB ≅ △CED, we can show that △ ≅ △CEB by. So, ∠CAD ≅ ∠ by CPCTC. Therefore, AD || BC by the converse of the theorem. Since both pair of opposite sides are par: alternate interior angles

Question 2

By a similar argument used to prove that △AEB ≅ △CED, we can show that △ ≅ △CEB by. So, ∠CAD ≅ ∠ by CPCTC. Therefore, AD || BC by the converse of the theorem. Since both pair of opposite sides are parallel, quadrilateral ABCD is a parallelogram.

Revolt · Accepted Answer

SAS

Question 3

X Steps 8 and 5✔ Steps 8 and 6Steps 8 and 7

Revolt · Accepted Answer

✔ Steps 8 and 6

Question 4

ADX BC✔ BD

Revolt · Accepted Answer

✔ BD

Question 5

Complete the statements by choosing the correct answer from the drop-down menu.

Revolt · Accepted Answer

are being used to get the equation in step 6.: Steps 4 and 5; are being used to get the equation in step 8.: Steps 5 and 7; are being used to get the equation in step 9.: Steps 8 and 6; In step 14, "similar argument" means to draw segment and follow the same logic in steps 3-12.: BD

Question 6

Steps 5 and 6✔ Steps 5 and 7Steps 6 and 7

Revolt · Accepted Answer

✔ Steps 5 and 7

Proving a Quadrilateral Is a Parallelogram Answers

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