Question

Compute ALL points of the image and list them as A', B', C', and D'.

Answer 1

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:

$(x,y)\to(-y,-x)$

Therefore, the image points of ABCD are:

$\begin{gathered} A\left(-5,2\right)\to A^{\prime}(-2,5) \\ B(1,2)\to B^{\prime}(-2,-1) \\ C(1,-1)\to C^{\prime}(1,-1) \\ D(-5,1)\to D^{\prime}(-1,5) \end{gathered}$

Answer:

The rectangle ABCD and its image are shown in the diagram below:

Note: the given points do not form a rectangle.