In a 45-45-90 right angle, what is the ratio of the length of one leg to the length of the other leg a) sqrt 2: 1 b) 1: sqrt 2 c) 1: 1 d)2: 1

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.