# Answer to Question #15583 in Algebra for deysi

Question #15583

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

Expert's answer

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.

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.

## Comments

Assignment Expert27.10.17, 21:27Dear Deontae Jones. The answer is correct because the translation is isometric transformation, hence it preserves the distances, angles, and the image will be a congruent figure. The reflection and the rotation are other examples of transformations which produce a congruent figure. Reference: Isometric Transformations. Retrieved from http://www.oakwood.k12.il.us/UserFiles/Servers/Server_5248734/File/Teachers/Eric%20Fenton/Adv%20Geo%20Notes/CCSS/Unit%201/LT1.1practice%20key.pdf

Deontae Jones26.10.17, 16:57That wrong the answer to that question is Reflection.

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