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Question

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?
(1) Flip, Slide, Turn and Bigger Figure
(2) Turn, Slide, Flip and Bigger Figure
(3) Flip, Turn, Slide and Bigger Figure
(4) Slide, Flip, Turn and Bigger Figure

The correct answer is
Flip, Turn, Slide and Bigger Figure

Understanding Geometric Transformations and Their Meanings

The question asks us to match four geometric transformations – Reflection, Rotation, Translation, and Enlargement – with simple words Nitu's teacher provided. We need to find the correct sequence of these words that corresponds to the given transformations.

Identifying the Meaning of Each Transformation

Let's look at each transformation and its common, simplified meaning:

  • Reflection: This transformation is like looking in a mirror. It creates a mirror image of the original shape. The simple word for this is a Flip.
  • Rotation: This transformation involves turning a shape around a fixed point. The simple word for this is a Turn.
  • Translation: This transformation means moving a shape from one position to another without changing its orientation. It's like sliding the shape. The simple word for this is a Slide.
  • Enlargement: This transformation changes the size of a shape, making it larger (or smaller, though 'enlargement' usually implies bigger). The simple word for this is Bigger Figure.

Determining the Correct Sequence

The question lists the transformations in the following order: Reflection, Rotation, Translation, and Enlargement. Based on our understanding, the corresponding sequence of simple words should be:

  1. Reflection = Flip
  2. Rotation = Turn
  3. Translation = Slide
  4. Enlargement = Bigger Figure

So, the correct sequence is: Flip, Turn, Slide, Bigger Figure.

Evaluating the Options

Now, let's compare this sequence with the given options:

  • Option 1: Flip, Slide, Turn and Bigger Figure (Incorrect - Slide and Turn are swapped).
  • Option 2: Turn, Slide, Flip and Bigger Figure (Incorrect - The order is different).
  • Option 3: Flip, Turn, Slide and Bigger Figure (Correct - This matches our determined sequence).
  • Option 4: Slide, Flip, Turn and Bigger Figure (Incorrect - The order is different).

Therefore, the correct sequence representing the meaning of each transformation is Flip, Turn, Slide, and Bigger Figure.

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Important Questions from Symmetry and Reflection

  1. Number of lines of symmetry in a square is -

  2. The curve given by xy = 15 is symmetrical about what?

  3. Which of the following letters does not have rotational symmetry?
  4. Which of the following has/have only two lines of symmetry?
    A. Equilateral triangle
    B. Rectangle
    C. Rhombus
    D. Isosceles triangle
    Choose the correct option.
  5. Which of the following letters has a rotational symmetry but no line symmetry?
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