Proving a Quadrilateral Is a Parallelogram

Question 1

are being used to get the equation in step 6.

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Steps 4 and 5

Question 2

are being used to get the equation in step 8.

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Steps 5 and 7

Question 3

are being used to get the equation in step 9.

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Steps 8 and 6

Question 4

In step 14, "similar argument" means to draw segment and follow the same logic in steps 3-12.

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BD

Question 5

We have that AB || DC.

Revolt · Accepted Answer

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

Proving a Quadrilateral Is a Parallelogram Answers

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