Question

ignacio wants to prove that $\triangle abccong\triangle dcb$. he says that he knows $overline{ac}congoverline{db}$ because diagonals in rectangles are congruent. what rule can he use to prove that $overline{bc}congoverline{bc}$? (1 point) the distributive property the pythagorean theorem the reflexive property the hl theorem

Explanation:

The reflexive property states that any geometric figure is congruent to itself. Here, the line - segment \(BC\) is the same in both \(\triangle ABC\) and \(\triangle DCB\), so \(BC\cong BC\) by the reflexive property. The distributive property is related to algebraic operations, the Pythagorean theorem is about right - triangle side lengths, and the HL (Hypotenuse - Leg) theorem is for right - triangle congruence.

Answer:

C. the Reflexive Property