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 pythagorean theorem the hl theorem the reflexive property the distributive property

Explanation:

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

Answer:

C. the Reflexive Property