Use the given information to complete the proof of the following theorem. If opposite sides of a quadrilateral are congruent, then it is a parallelogram. By definition, a parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. Use this definition in your proof. Given: 4B = CD B AD = BC 3 Prove: ABCD is a parallelogram Statement Reason 1 AB A CD Given 2 AD E BC Given Reason ? 4 A4BD E AI Reason ? 5 41 = 0 Reason ? Check

Elementary Geometry For College Students, 7e
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Term 3 Homework 2
Sara v
Question 14 of 19 (1 point) Question Attempt: 2 of Unlimited
Statement
Reason
AB 2 CD
Given
2 AD = BC
Given
3
Reason ?
4 AABD A
Reason ?
5
Reason ?
6
Reason ?
AE
|L||
If alt, int. Zs e, then lines ||
AD ||||
If alt. int. Z s 2, then lines||
8
9 ABCD is a parallelogram
Reason ?
Check
Save For Later
Submit Assignment
Transcribed Image Text:Term 3 Homework 2 Sara v Question 14 of 19 (1 point) Question Attempt: 2 of Unlimited Statement Reason AB 2 CD Given 2 AD = BC Given 3 Reason ? 4 AABD A Reason ? 5 Reason ? 6 Reason ? AE |L|| If alt, int. Zs e, then lines || AD |||| If alt. int. Z s 2, then lines|| 8 9 ABCD is a parallelogram Reason ? Check Save For Later Submit Assignment
Term 3 Homework 2
Sara v
Question 14 of 19 (1 point) Question Attempt: 2 of Unlimited
Use the given information to complete the proof of the following theorem.
If opposite sides of a quadrilateral are congruent, then it is a parallelogram.
By definition, a parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.
Use this definition in your proof.
В
Given: AB = CD
1
AD E BC
Prove: ABCD is a parallelogram
Statement
Reason
1 AB E CD
Given
2
AD = BC
Given
Reason ?
4 AABD = A
Reason ?
5
Reason ?
Check
Save For Later
Submit Assignment
Transcribed Image Text:Term 3 Homework 2 Sara v Question 14 of 19 (1 point) Question Attempt: 2 of Unlimited Use the given information to complete the proof of the following theorem. If opposite sides of a quadrilateral are congruent, then it is a parallelogram. By definition, a parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. Use this definition in your proof. В Given: AB = CD 1 AD E BC Prove: ABCD is a parallelogram Statement Reason 1 AB E CD Given 2 AD = BC Given Reason ? 4 AABD = A Reason ? 5 Reason ? Check Save For Later Submit Assignment
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