Question

Which statement and reason accurately completes the proof?

1) 4. ∠a ≅ ∠a; reflexive property of equality
2) 4. ∠b ≅ ∠b; reflexive property of equality
3) 4. ∠b ≅ ∠c; isosceles triangle theorem
4) 4. ∠a ≅ ∠c; isosceles triangle theorem

Answer 1

The correct statement and reason to complete the proof is 4. ∠a ≅ ∠a; reflexive property of equality.

Step-by-step explanation:

In this proof, we need to identify the correct statement and reason to complete it. The options are:

1. 4. ∠a ≅ ∠a; reflexive property of equality
2. 4. ∠b ≅ ∠b; reflexive property of equality
3. 4. ∠b ≅ ∠c; isosceles triangle theorem
4. 4. ∠a ≅ ∠c; isosceles triangle theorem

The correct answer is option 1) 4. ∠a ≅ ∠a; reflexive property of equality. When using the reflexive property of equality, we are stating that an angle is equal to itself, which is always true.