Question

gnacio wants to prove that ΔABC≅ΔDCB . He says that he knows AC¯¯¯¯¯¯¯¯≅DB¯¯¯¯¯¯¯¯ because diagonals in rectangles are congruent. What rule can he use to prove that BC¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯ ? (1 point) Responses the HL Theorem the HL Theorem the Distributive Property the Distributive Property the Reflexive Property the Reflexive Property the Pythagorean Theorem

Answer 1

To prove that \( \triangle ABC \cong \triangle DCB \), Ignacio can use the Reflexive Property to show \( BC \cong BC \). The Reflexive Property states that any segment (or quantity) is congruent to itself, so he can reason that segment \( BC \) is the same in both triangles.

Therefore, the correct answer is **the Reflexive Property**.