Question

Square PAST has vertex A at (- 4, 2) . PAST is reflected about the x - axis . It is then reflected again over the line y = - x . Which of the following is the coordinate of vertex A ^ n ?
A.(4,2)
B.(-4,2)
C.(2,4)
D.(-2,-4)

Answer 1

Answer:

C (2,4)

Step-by-step explanation:

Reflection about x-axis: (-4,-2)

Reflection in y = -x : (2,4)

Answer 2

The coordinate of vertex A' of Square PAST which is reflected about the x - axis and again reflected over the line y =-x is (2,4).

What is reflection?

The reflection of a plane or shape is flipping the original figure with respect to a reference line.

Following steps are used to for reflecting a shape-

• Select the shape which has to be reflected.
• Select a base line or reference line over which the shape has to be reflected.
• Mark the corners of the shape at the equidistant from the reference line as the original shape has, but in the opposite direction.
• The reflected shape is now is facing the opposite direction.

Square PAST has vertex A at (- 4, 2). PAST is reflected about the x-axis. The rule for reflection over x-axis is,

$(x,y)-- > (x,-y)$

Thus, the point after A(- 4, 2) after the reflection about x-axis is,

$(-4,2)-- > (-4,(-2))\\(-4,2)-- > (-4,-2)$

The figure again reflected over the line y = - x. When a figure is reflected with y = -x, then the coordinates of x and y are interchanged and their signs are also changed.

Thus, the point we get after this reflection are,

$(-4,-2)-- > (2,4)$

Thus, the coordinate of vertex A' of Square PAST which is reflected about the x - axis and again reflected over the line y =-x is (2,4).

Learn more about the reflection here;

https://brainly.com/question/1908648