Is the following definition of complementary reversible? If yes, write it as a true biconditional.
Complementary angles are two angles whose sum measures to 90°.
(1 point)
Responses
The statement is not reversible.
The statement is not reversible.
Yes, if angles are complementary, then their sum measures to 90°.
Yes, if angles are complementary, then their sum measures to 90°.
Yes, angles are complementary if (and only if) their sum measures to 90°.
Yes, angles are complementary if (and only if) their sum measures to 90°.
Yes, angles are complementary if their sum measures to 90°.
Yes, angles are complementary if their sum measures to 90°.
Yes, angles are complementary if (and only if) their sum measures to 90°.
The correct answer is:
Yes, angles are complementary if (and only if) their sum measures to 90°.
The correct answer is:
Yes, angles are complementary if (and only if) their sum measures to 90°.
To explain, a statement is reversible if it can be written in the form "if and only if." In this case, the original definition states that complementary angles are two angles whose sum measures to 90°. To make it reversible, we can rephrase it as "angles are complementary if (and only if) their sum measures to 90°." This means that if two angles have a sum of 90°, then they are complementary, and vice versa. Therefore, the true biconditional statement is "angles are complementary if (and only if) their sum measures to 90°."