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How Do Transformations Help Us Understand Congruent and Similar Shapes?

Transformations help us understand how shapes are the same (congruent) or similar. Let’s break it down:

  • Translations: This is like sliding a shape. When you slide it, every point moves the same way and the same distance. So, the shape stays congruent!

  • Rotations: Here, you turn a shape around a point. The size and angles stay the same, so the new shape is still congruent.

  • Reflections: This is when you flip a shape over a line. The result is a shape that looks like an exact mirror image of the original. They are congruent!

  • Dilations: This is about similarity. When you make a shape smaller (shrink) or larger (enlarge), the angles stay the same, but the sizes change. They still keep the same shape, just different sizes.

Using transformations helps us see how shapes are related in size and form!

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How Do Transformations Help Us Understand Congruent and Similar Shapes?

Transformations help us understand how shapes are the same (congruent) or similar. Let’s break it down:

  • Translations: This is like sliding a shape. When you slide it, every point moves the same way and the same distance. So, the shape stays congruent!

  • Rotations: Here, you turn a shape around a point. The size and angles stay the same, so the new shape is still congruent.

  • Reflections: This is when you flip a shape over a line. The result is a shape that looks like an exact mirror image of the original. They are congruent!

  • Dilations: This is about similarity. When you make a shape smaller (shrink) or larger (enlarge), the angles stay the same, but the sizes change. They still keep the same shape, just different sizes.

Using transformations helps us see how shapes are related in size and form!

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