Provide the missing statement and reasons for the following proof:
Given: <BDA ~= <A
S1. <BDA ~= <A R1. Given
S2. <BDA ~= <CDE R2.
S3. <CDE ~= <A R3. Transitive Property of Congruence
S4. m<CDE = m<A R4.
S5. R5. Substitution Property of Equality
S6. 14x = 13x + 3 R6.
S7. x = 3 R7. Subtraction Property of Equality
We are given that;
we want to prove that; x=3
Reason; it is given
The statement means they are congruent and equal.
Reason; vertically opposite angles are equal
This means is congruent to
Reason; Transitive property of congruence.
We saw that
Thus, by Reason; transitive property of equality.