Parallelograms

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

Question 2

are being used to get the equation in step 8.

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Steps 5 and 7

Question 3

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

ACB

Question 4

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

alternate interior angles

Question 5

Based on the information given, is the quadrilateral a parallelogram? Explain.

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The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.

Question 6

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

Parallelograms Answers

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