Question

If a rotation takes triangle CAT to C’A’T, what is CT?

Answer 1

The length of the side CT in the image is √17, and the transformation is a rotation transformation, therefore length of C'T' os √17

How can the length of C'T' be found?

From the given diagram of the triangle, we have;

Pre-image = ∆CAT

AC = √3

AT = √10

CT = √17

Type of transformation = Rotation transformation

Image = ∆C'A'T'

A rotation transformation is a form of rigid transformation, in which the lengths of the sides of the pre-image are preserved therefore;

Length of the sides of ∆CAT = Length of the sides of ∆C'A'T

AC = A'C' = √3

AT = A'T' = √10

CT = C'T' = √17

Therefore;

• C'T' = √17

Learn more about rigid transformations here:

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