Question

is reflected across y = -x,
what are the point a, b,
and c ?
drag and drop the
coordinates of the
reflected points.
(2, -4)
(-2, -4)
(6, 2)
(-2, 4)
(-2, -6)
(1, 2)
(-1, -2)
(2, 6)
(-2, -1)
(-4, 2)
a
answer by dragging items
here
b
answer by dragging items
here
c
answer by dragging items
here

Explanation:

Step1: Find the reflection rule

When a point \((x,y)\) is reflected across the line \(y = -x\), the transformation rule is \((x,y)\to(-y,-x)\).

Step2: Assume the original points

Assume the original points \(A(4, - 2)\), \(B(2,-6)\), \(C(6,2)\) (since the graph is not clear, assume common - sense coordinates for illustration. If the original points are different, the following steps can be adjusted accordingly).

• For point \(A(4,-2)\):

Using the rule \((x,y)\to(-y,-x)\), when \(x = 4\) and \(y=-2\), we have \(A'=(2,-4)\).

• For point \(B(2,-6)\):

Using the rule \((x,y)\to(-y,-x)\), when \(x = 2\) and \(y=-6\), we have \(B'=(6,2)\).

• For point \(C(-2,4)\):

Using the rule \((x,y)\to(-y,-x)\), when \(x=-2\) and \(y = 4\), we have \(C'=(-4,2)\).

Answer:

\(A'=(2,-4)\), \(B'=(6,2)\), \(C'=(-4,2)\)