The problem states that when sean was 4, rachel was 2. sean’s age is twice rachel’s age. can this also be a rule for the relationship between their ages?

No

Step-by-step explanation:

No because the rule is that Sean is two years older than Rachel. For example, when Sean is 10, Rachel will be 8, which is two less than 10, not 5 which is half of 10. So, the rule doesn't apply for the relationship between their ages.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.