Math Problem Statement

Answer the following questions: 1. In Math, the word dilate means to ________ or ________ a figure. 2. If a scale factor is less than 1, then your figure gets ________. 3. If a scale factor is greater than 1, then your figure gets ________.

Solution

Here are the answers based on the provided questions:

  1. In Math, the word dilate means to enlarge or shrink a figure.
  2. If a scale factor is less than 1, then your figure gets smaller.
  3. If a scale factor is greater than 1, then your figure gets larger.

Would you like further explanation or examples of dilation?

Related Questions:

  1. How does dilation affect the coordinates of a figure in the coordinate plane?
  2. What happens if the scale factor is exactly 1?
  3. Can dilation change the shape of a figure, or does it only affect size?
  4. How can we find the center of dilation in a geometric transformation?
  5. How is dilation different from other transformations like rotation or translation?

Tip: When working with dilations on graphs, always note the center of dilation, as it helps determine the direction and proportion of the transformation.

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Math Problem Analysis

Mathematical Concepts

Geometric transformations
Dilation
Scale factor

Formulas

Dilation formula: (x, y) -> (k*x, k*y), where k is the scale factor

Theorems

Dilation theorem: A dilation with a positive scale factor maps a figure to a similar figure.

Suitable Grade Level

Grades 6-8