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How Do Different Transformations Affect the Area and Perimeter of Shapes?

Transformations can change how we look at shapes, but they can also have a big impact on their area and perimeter. Let’s break it down:

  1. Translation: This means moving a shape without changing its size or area.

    • For example, if a triangle moves 2 units to the right, its area and perimeter stay the same.
  2. Rotation: This is when a shape spins around a point.

    • Just like translation, rotation doesn’t change the area or the perimeter of the shape.
  3. Reflection: This is like flipping a shape over a line.

    • When you do this, the area and perimeter remain unchanged too.
  4. Enlargement: This makes a shape bigger using a scale factor.

    • For example, if you double the sides of a square from 2 units to 4 units:
      • The original area is 2×2=42 \times 2 = 4
      • The enlarged area is 4×4=164 \times 4 = 16
      • The perimeter changes from 8 units to 16 units.

By understanding these transformations, you can learn how to compare and change shapes easily!

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How Do Different Transformations Affect the Area and Perimeter of Shapes?

Transformations can change how we look at shapes, but they can also have a big impact on their area and perimeter. Let’s break it down:

  1. Translation: This means moving a shape without changing its size or area.

    • For example, if a triangle moves 2 units to the right, its area and perimeter stay the same.
  2. Rotation: This is when a shape spins around a point.

    • Just like translation, rotation doesn’t change the area or the perimeter of the shape.
  3. Reflection: This is like flipping a shape over a line.

    • When you do this, the area and perimeter remain unchanged too.
  4. Enlargement: This makes a shape bigger using a scale factor.

    • For example, if you double the sides of a square from 2 units to 4 units:
      • The original area is 2×2=42 \times 2 = 4
      • The enlarged area is 4×4=164 \times 4 = 16
      • The perimeter changes from 8 units to 16 units.

By understanding these transformations, you can learn how to compare and change shapes easily!

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