A dilation and a rotation could have occurred to map [tex]{{\Delta \text{ABC}} \;\text{to}\; {{\Delta \text{A''B''C''}}[/tex]. Option (d) is correct.
Further Explanation:
Given:
The options are as follows,
(A). A rotation and a reflection
(B). A translation and a dilation
(C). A reflection and a dilation
(D). A dilation and a rotation
Explanation:
Rotation is defined as a movement around its own axis. A circular movement is a rotation.
The reflection symmetry is defined as a line that divides the Figure into two equal parts.
Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.
A dilation and a rotation could have occurred to map [tex]{\Delta {\text{ABC}} \;\text{to}\; {{\Delta \;\text{A''B''C''}}[/tex]. Option (d) is correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Geometry
Keywords: sequence, similar, Transformation, reflection, dilation, rotation, translation, rigid, motion, rigid motions,
