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

Answer 1

To prove that $BC\cong BC$ in the triangles $\mathrm{\Delta }ABC$ and $\mathrm{\Delta }DCB$, 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.