Ignacio 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 Pythagorean Theorem the Pythagorean Theorem the Distributive Property the Distributive Property the HL Theorem the HL Theorem the Reflexive Property

Answer 1

To show that \( BC \cong BC \), Ignacio can use the Reflexive Property. This property states that any geometric figure (in this case, segment \( BC \)) is congruent to itself. Thus, he can conclude that \( BC \cong BC \) as part of his proof for the congruence of triangles \( \Delta ABC \) and \( \Delta DCB \).