Which of the following would be a line of reflection that would map abcd onto itself?
possible answers:
1. y = 2
2 3x + y = 1
3. 3x + y = −1
4.−3x + 3y = 9

4.

Step-by-step explanation:

Quadrilateral ABCD is a square. A square can be reflected onto itself across its diagonals.

Find the equation of the diagonal AC. This diagonal passes through the points A(-3,0) and C(-1,2). Hence, the slope of the line AC is

Thus, the equation of AC is

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: