Math Problem Statement
Solution
Here are the answers based on the provided questions:
- In Math, the word dilate means to enlarge or shrink a figure.
- If a scale factor is less than 1, then your figure gets smaller.
- If a scale factor is greater than 1, then your figure gets larger.
Would you like further explanation or examples of dilation?
Related Questions:
- How does dilation affect the coordinates of a figure in the coordinate plane?
- What happens if the scale factor is exactly 1?
- Can dilation change the shape of a figure, or does it only affect size?
- How can we find the center of dilation in a geometric transformation?
- 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
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