**Guide :High School **

# Read the proof.

Read the proof. Given: AEEC; BDDC Prove: △AEC ~ △BDC Statement Reason 1. AEEC;BDDC 1. given 2. ∠AEC is a rt. ∠; ∠BDC is a rt. ∠ 2. definition of perpendicular 3. ∠AEC ≅ ∠BDC 3.**The reflexive property of equality states that a value is equal to itself. (i.e. for all real numbers, x = x.)Given that the reason for the missing statement, it means that the similarlity statement is equal to it self.Having proved in statement 3 that ∠AEC ≅ ∠BDC both being right angles, it can be seen that the angle both have in common is angle C.Thus, to statement 4 shows that angle C is congrent to itself.Therefore, the missing statement in step 4 is ∠ACE ≅ ∠ACE**...