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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!
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
<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
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.
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Grade: High School
Subject: Mathematics
Chapter: Transformation
Keywords: Function , Trigonometric , Linear , Quadratic , Translation , Reflection , Rotation , Dilation , Graph , Vertex , Vertices , Triangle
