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 HL Theorem the HL Theorem the Pythagorean Theorem the Pythagorean Theorem the Distributive Property the Distributive Property the Reflexive Property
1 answer
To prove that \( BC \cong BC \) in the triangles \( \Delta ABC \) and \( \Delta DCB \), Ignacio can use the Reflexive Property. The Reflexive Property states that a segment is congruent to itself, which is applicable here since \( BC \) is common to both triangles.
So the correct response is:
the Reflexive Property.
