Question

Match each statement to the reasons given for the geometric proof. Part 2

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Answer 1

Answer: 5, 3, 2, 4, 1

Explanation:

The proof should be written as follows:

Statement Reason

1. ABCD is a parallelogram 1. Given

2. AB||CD and AC||BD 2. Definition of a parallelogram

3. ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD 3. Corresponding Angles Thm

4. ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC 4. Transitive Property of Cong

5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD 5. Alternate Interior Angles Thm

This is the order provided in your question:

5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD 5. Alternate Interior Angles Thm

3. ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD 3. Corresponding Angles Thm

2. AB||CD and AC||BD 2. Definition of a parallelogram

4. ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC 4. Transitive Property of Cong

1. ABCD is a parallelogram 1. Given

Note: #2 & #4 might be reversed