Use the image to answer the question.

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 Distributive Property
the Distributive Property

the HL Theorem
the HL Theorem

the Pythagorean Theorem
the Pythagorean Theorem

the Reflexive Property

Answer 1

Ignacio can use the Reflexive Property to prove that \( BC \cong BC \). The Reflexive Property states that any geometric quantity is congruent to itself, which means that segment \( BC \) is equal to itself in triangles \( \Delta ABC \) and \( \Delta DCB \). Therefore, the correct answer is:

the Reflexive Property.