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.