Question

Suppose line g is the line with equation y=x. Given A(9,-5), B(6,3), and C(-1,-6), what are the coordinates of the vertices of A'B'C' for the reflection?
(type an ordered pair)

A'=___
B'=___
C'=___​

Answer 1

Answers:

A ' = (-5, 9)

B '  = (3, 6)

C ' = (-6, -1)

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Explanation:

When reflecting over the line y = x, we swap the locations of the x and y coordinates. For example, the point (5,7) becomes (7,5)

This means we have the following reflections

• A(9,-5) moves to A ' (-5, 9)
• B(6,3) moves to B ' (3, 6)
• C(-1,-6) moves to C ' (-6, -1)

This operation is commonly done when determining the inverse of a graph. This is because the inverse basically undoes everything the original function applies. So this "backwards" nature of things means that x becomes y and vice versa.