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3 years ago

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HELP PLEASE! Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to creat

e 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.

1 answer:

Sveta_85 [38]3 years ago

4 0

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.

<h3>Further explanation</h3>

<em>There are several types of transformations:</em>

<em>Translation</em>
<em>Reflection</em>
<em>Rotation</em>
<em>Dilation</em>

Let us now tackle the problem!

$\texttt{ }$

This problem is about Translation and Dilation.

<em>Properties of </em><em>Translation</em><em> of the images compared to pre-images:</em>

preserve Side Length
preserve Orientation
preserve Collinearity
preserve Betweenness of Points

$\texttt{ }$

<em>Properties of </em><em>Dilation</em><em> of the images compared to pre-images:</em>

not preserve Side Length
not preserve Orientation
preserve Collinearity
preserve 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.

$\texttt{ }$

<h3>Learn more</h3>

Inverse of Function : brainly.com/question/9289171
Rate of Change : brainly.com/question/11919986
Graph of Function : brainly.com/question/7829758
Translation : brainly.com/question/10929552
Translation of Graph : brainly.com/question/12091943
Transformation Of 2 Functions : brainly.com/question/2415963

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Transformation

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

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