Question

In the graph below, line “k” y= -k makes a 45 degree angle with the x and y axes. Complete the following:

Rx:(2,5) —>
A) (2,-5)
B)(-2,5)
C)(5,2)

Answer 1

The line, y = - x, makes an angle of 45 degrees with the x and y axis means 135 degrees with the positive direction of the x-axis.

When a point (p,q) is reflected over the line, y=x, the coordinates of the reflected point will be (q,p)

And, when point (p,q) is reflected over the line, y= -x, the coordinates of the reflected point will be (-q, -p).

So, when point (2,5) is reflected over the line, y= - x, the coordinates of the reflected point will be (-5,-2).

If reflected over the line , y=x, the point (2,5) will transform to (5,2).

Now,

means reflection over x axis gives coordinatess of thee new point (2, -5) pointing thee fourth Quadrant.

If these points are reflected over the line , y= -x, gives

A) (2, -5)→ (5, -2)

B) (-2,5)→(-5, 2)

C) (5,2)→(-2,-5)