Is ABC = def if so name the postulate that applies

Might not be congruent.

Step-by-step explanation:

In the given figure, we have two right triangles ΔABC and ΔDEF.

Also, it is given that,

So by, AAA similarity rule we can say  ΔABC and ΔDEF are similar.

But we cannot say it is congruent.

We need at-least one side equal in both triangles to prove it congruent.

For example :-All the equilateral triangles are similar but not congruent as the side lengths vary as per triangle but the angles remain same  .

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

b.

step-by-step explanation:

i just know