Question

given \\( \triangle a b c \\) is an isosceles triangle where \\( a b=b c \\). prove: \\( m \angle b a c=m \angle b c a \\).
what is the reason for statement 4 in this proof?
a. transitive property of equality
b. definition of midpoint
c. definition of parallel lines
d. reflexive property of equality

Explanation:

The Reflexive Property of Equality states that any quantity is equal to itself. In this case, \(BD = BD\) because a segment is congruent to itself. The Transitive Property of Equality is for when \(a = b\) and \(b = c\) then \(a = c\). The definition of mid - point is about a point dividing a segment into two equal parts. The definition of parallel lines is about lines that do not intersect. Since \(BD\) is compared to itself, the Reflexive Property of Equality is the correct reason.

Answer:

D. Reflexive Property of Equality