Ignacio wants to prove that he says that he knows because diagonals in rectangles are congruent. What rule can he use to prove that BC ~= BC

Answer 1

In geometry, the statement "BC ≅ BC" refers to the Reflexive Property of Congruence. This property states that any geometric object is congruent to itself.

In other words, for any line segment, angle, or any geometric figure, it is always true that it is congruent to itself (i.e., \( BC \cong BC \)). Thus, Ignatio can use the Reflexive Property of Congruence to prove that segment BC is congruent to itself. This property is often used in proofs and can be very helpful when establishing relationships between geometric elements.