Question

Your friend claims that the SAS Congruence Theorem (Theorem 5.5) will apply to a triangle and it’s image after the triangle has been translated, reflected, rotated, and dilated. Is your friend correct?

Answer 1

The triangles would not be congruent since it was dilated.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rigid transformation are transformation that preserve the shape and size of the figure. These are rotation, reflection, and translation. Dilation is not a rigid transformation because it reduces or increases the size of the figure.

Two triangles are congruent if they have the same shape and size.

The triangles would not be congruent since it was dilated.

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