Mathematics, 01.07.2019 01:10 iiChantxx

Square t was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square t″. which statement explains why the squares are similar?
a. translations and dilations preserve side length; therefore, the corresponding sides of squares t and t″ are congruent.
b. translations and dilations preserve orientation; therefore, the corresponding angles of squares t and t″ are congruent.
c. translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares t and t″ are proportional.
d. translations and dilations preserve collinearity; therefore, the corresponding angles of squares t and t″ are congruent.

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Answer from: mella98

The statement that explains why the squares are similar is

Option C. Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.

Further explanation

There are several types of transformations:

TranslationReflectionRotationDilation

Let us now tackle the problem!

$\texttt{ }$

This problem is about Translation and Dilation.

Properties of Translation of the images compared to pre-images:

preserve Side Lengthpreserve Orientationpreserve Collinearitypreserve Betweenness of Points

$\texttt{ }$

Properties of Dilation of the images compared to pre-images:

not preserve Side Lengthnot preserve Orientationpreserve Collinearitypreserve Betweenness of Points

$\texttt{ }$

From the information above, we can conclude that:

Option A is not true because Dilations do not preserve side length.

Option B is not true because Dilations do not preserve orientation.

Option C is true because Translations and Dilations preserve betweenness of points.

Option D is not true. Although Translation and Dilations preserve collinearity but it cannot be related to the corresponding angles are congruent.

$\texttt{ }$

Learn moreInverse of Function : linkRate of Change : linkGraph of Function : linkTranslation : linkTranslation of Graph : linkTransformation Of 2 Functions : linkAnswer details

Grade: High School

Subject: Mathematics

Chapter: Transformation

Keywords: Function , Trigonometric , Linear , Quadratic , Translation , Reflection , Rotation , Dilation , Graph , Vertex , Vertices , Triangle

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