Nitu is always confused in identifying the transformations. Her mathematics teacher helped her by giving one simple word for each transformation namely : Reflection, Rotation, Translation and Enlargement.
Which of the following represents the correct sequence of meaning of each transformation as given above ?
Correct Answer :
Flip, Turn, Slide and Bigger Figure
Solution :
The correct answer is Flip, Turn, Slide and Bigger Figure.
Let us understand the simple, everyday meaning associated with each mathematical transformation given in the sequence:
1. Reflection:
A reflection creates a mirror image of a figure by flipping it over a line of reflection (mirror line). Therefore, the simple word for reflection is Flip.
2. Rotation:
A rotation involves pivoting or turning a shape around a fixed point by a certain angle. Therefore, the simple word for rotation is Turn.
3. Translation:
A translation moves or slides every point of a shape by a constant distance in a given direction without turning or flipping it. Therefore, the simple word for translation is Slide.
4. Enlargement:
An enlargement resizes a figure using a scale factor, making it larger (or scaled up). Therefore, the simple word for enlargement is Bigger Figure.
Matching these meanings in the exact order requested (Reflection, Rotation, Translation, Enlargement):
• Reflection ⇒ Flip
• Rotation ⇒ Turn
• Translation ⇒ Slide
• Enlargement ⇒ Bigger Figure
Thus, the correct sequence representing the meaning of each transformation is Flip, Turn, Slide and Bigger Figure.
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