Question

Square ABCD is transformed by a combined transformation of a reflection in the line x=1 followed by a rotation. Under the combined transformation , two vertices of the square ABCD are invariant. Describe full one possible rotation

Answer 1

Transforming the square involves changing the position of the square

The coordinates of the image of the square are: A' = (5,4) B' = (3,4) C' = (3,2) and D' = (5,2)

How to determine the transformation

From the complete question, the vertices of the square ABCD are:

A = (-3,4)

B = (-1,4)

C = (-1,2)

D = (-3,2)

When reflected over the line x = 1, the rule of transformation is:

$(x,y) \to (|x| + 2,y)$

So, the vertices become:

A' = (5,4) B' = (3,4) C' = (3,2) and D' = (5,2)

Hence, the coordinates of the image of the square are:

A' = (5,4) B' = (3,4) C' = (3,2) and D' = (5,2)

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