Question

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

Answer 1

Answer:  5, 3, 2, 4, 1

Step-by-step 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