Question

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

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. In this case, since \( BC \) appears in both triangles \( \Delta ABC \) and \( \Delta DCB \), it is indeed congruent to itself.