Question

Given ade=cdb, which of the following statements must be true?

a) a = b
b) d = c
c) e = d
d) a + b = c + d

Answer 1

The statement d = c must be true.

Step-by-step explanation:

Given ade=cdb, we can conclude that the statement d = c must be true. This is because the equation shows that the segments ade and cdb are equal, and therefore their corresponding endpoints must also be equal. The other statements, a = b, e = d, and a + b = c + d, cannot be proven to be true based on the given equation.