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# 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
1
2012-10-03T08:51:25-0400
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.

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Assignment Expert
27.10.17, 21:27

Dear 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 https://www.oakwood.k12.il.us/UserFiles/Servers/Server_5248734/File/Teachers/Eric%20Fenton/Adv%20Geo%20Notes/CCSS/Unit%201/LT1.1practice%20key.pdf

Deontae Jones
26.10.17, 16:57

That wrong the answer to that question is Reflection.