Which of the following statements is true?

Option A - (0,0) is a solution to both the equations. is the only true statement.

Step-by-step explanation:

Step 1 :    

Given  2 equations are

n = m

n = 4m

Step 2:

(0,0) is a solution to both the equations.

This statement is true as substituting the point , the equations are true.

Step 3 :

Every solution to n=m is also a solution to n=4 m

Take the point (5,5)

This point lies on the equation n = m, as both the x and y co ordinates are same

n = 4 m = 4 × 5 = 20

So here for n = 5, n = 4 m is not true and hence this point is not a solution for the second equation thought it is a solution for the first equation

Hence this statement is not true

Step 4:

The graph of the solutions is  parallel lines

this statement is not true because the 2 lines intersect at (0,0) as observed from step 2.

Step 5 :

No point on the line n=m is also a point on n=4 m

This statement is not true because (0,0) is a point on both the lines.

Step 6 :

Answer :

Option A - (0,0) is a solution to both the equations. is the only true statement.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.