Answer to Question #15583 in Algebra for deysi

Question

Which of the following transformations will always produce a congruent figure?dilation expansion translation contraction

Answer 1

Transformation of figure is congruent figure iff this transformation is
isometric (that is, distances between any pair of points are preserved
)

Dilatation and contraction increase and decrease distances inside the
figure, and expansion makes figure with another structure
of boundary, so
they don't produce congruent figures.

Translation only moves figure in
some direction and so it is isometric, and produce congruent figure.