Math Problem Statement
or The parallelogram D'E'F'G' is a dilation of the parallelogram DEFG. What is the scale factor of the dilation?
Solution
To determine the scale factor of the dilation between parallelogram and , we need to compare corresponding side lengths of the two parallelograms.
From the given image:
- Side of the original parallelogram corresponds to side of the dilated parallelogram.
- The length of is 2 units, and the length of is 6 units.
Formula for scale factor:
Substitute the values:
Final Answer:
The scale factor of the dilation is 3.
Would you like a detailed explanation on dilation or how to calculate scale factors?
Related Questions:
- How do you find the scale factor if the areas of the figures are given?
- What happens to the angles of a figure during a dilation?
- How do you calculate a scale factor if the coordinates of vertices are provided?
- How does a dilation affect the perimeter of a shape?
- Can a dilation have a scale factor less than 1? What does it mean?
Tip: Always ensure that you compare corresponding sides or dimensions to calculate the scale factor correctly.
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Math Problem Analysis
Mathematical Concepts
Geometry
Dilations
Scale Factor
Formulas
Scale Factor = Length of side in the dilated figure / Length of side in the original figure
Theorems
Properties of Dilations
Suitable Grade Level
Grades 6-8