Question

Describe a rigid transformation that takes Polygon A to Polygon B. Does Anybody know the answer to this problem? i've been struggling with it a lot and i really want to get it done so any help would be appreciated!​

Answer 1

Polygon A is reflected across x- axis followed by the reflection across y-axis.

Explanation:

A polygon A has been transformed by a rigid transformation to form an image polygon B.

Let one of the vertex of polygon A is (-2, 1).

When polygon is reflected across the x - axis,

Image point will be,

A(x, y) → A'(x, -y)

By this rule,

A(-2, 1) → A'(-2, -1)

Now the image point is further reflected across the y-axis,

Rule for the reflection across y-axis is,

A'(x, y) → B'(-x, y)

By this rule, image of A' will be,

(-2, -1) → (2, -1)

Therefore, Polygon A is reflected across x- axis followed by the reflection across y-axis.