Math Problem Statement

If the scale factor is 1, the new figure will be

Solution

If the scale factor is 1, the new figure will be identical in size to the original figure. A scale factor of 1 means that the figure is neither enlarged nor reduced, so the dimensions of the new figure will be exactly the same as the original one. Both figures will have the same shape and size.

Would you like further details or explanations on scaling factors?

Here are 5 related questions you might explore:

  1. What happens if the scale factor is greater than 1?
  2. How do you calculate the new dimensions of a figure after scaling?
  3. What effect does a scale factor less than 1 have on a figure?
  4. How does scaling affect the perimeter and area of a figure?
  5. Can a scale factor be a negative number, and what would that imply?

Tip: When scaling a figure, always apply the scale factor uniformly to all dimensions (length, width, etc.) to maintain proportionality.

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Math Problem Analysis

Mathematical Concepts

Geometry
Scaling
Proportionality

Formulas

Scale factor formula: New Dimension = Original Dimension * Scale Factor

Theorems

Similarity Theorem

Suitable Grade Level

Grades 6-8