We are given the vertex coordinates of quadrilateral RSTU.
Vertices ofRSTU [0.5em]
R(4,3)
S(5, - 1)
T(4,- 3)
U(3,- 1)
We will start by graphing the given figure by using its vertices, then reflect RSTU over the x-axis. We will finish off by reflecting the image of the figure over the y-axis. Let's begin by graphing the figure by using the given vertices.
Now we will reflect quadrilateral RSTU over the x-axis. Remember that for this type of reflection, the y-coordinates of each preimage points is negated but the x-value remains the same.
Next, we will reflect the image of the first reflection over the y-axis. For this type of reflection, negate the x-coordinates of each preimage point and keep the y-values the same.
Quadrilateral R''S''T''U'' is the image of a reflection of quadrilateral RSTU over the x-axis, followed by a reflection over the y-axis. Now we can finally write the coordinates of the vertices of the these final image.
Vertices of Final Image [0.5em]
R''(- 4,- 3)
S''(- 5, 1)
T''(- 4,3)
U''(- 3,1)
