The statement that describes the properties of triangles ABC and A''B''C'' after the transformations is
(Option A.) ∠C and ∠C'' are congruent after both the translation and the dilation.
<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{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
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
- preserve Angle Measurement
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<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
- preserve Angle Measurement
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
From the information above, we can conclude that Dilation and Translation preserve Angle Measurement , therefore:
<u><em>(Option A.) ∠C and ∠C'' are congruent after both the translation and the dilation.</em></u>
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h3>Learn more</h3>
<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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