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 HL Theorem the HL Theorem the Reflexive Property the Reflexive Property the Distributive Property the Distributive Property

Answer 1

To prove that \( BC \cong BC \), Ignacio can use the Reflexive Property. The Reflexive Property states that any geometric figure is congruent to itself, which applies here since \( BC \) in triangle \( ABC \) is the same segment as \( BC \) in triangle \( DCB \).

So the correct choice is: the Reflexive Property.