Explanation:
The coordinates of the vertices of rectangle ABCD are as given below:
• A(-5,2)
,
• B(1,2)
,
• C(1,-1)
,
• D(-5,1)
If the rectangle is reflected over the line y=-x, the transformation rule is given as:
[tex](x,y)\to(-y,-x)[/tex]
Therefore, the image points of ABCD are:
[tex]\begin{gathered} A\left(-5,2\right)\to A^{\prime}(-2,5) \\ B(1,2)\to B^{\prime}(-2,-1) \\ C(1,-1)\to C^{\prime}(1,-1) \\ D(-5,1)\to D^{\prime}(-1,5) \end{gathered}[/tex]
Answer:
The rectangle ABCD and its image are shown in the diagram below:
Note: the given points do not form a rectangle.
