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Name Date Class LESSON101Properties of Dilations Practice and Problem-Solving: A/Use triangles ABC and A 'B 'C for Exercises 14. 1. Use the coordinates to find the lengths of the sides. Triangle ABC:
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To fill out properties of dilations, follow these steps:
02
Identify the center of dilation.
03
Determine the scale factor, which is the ratio of the image distance to the pre-image distance.
04
Write down the original shape or object and its corresponding image after dilation.
05
Calculate the coordinates of each point in the pre-image and image.
06
Use the scale factor to determine the change in size for each point.
07
Write the properties of dilations, such as the change in size, coordinates, and orientation of the pre-image.
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Finally, check if the properties of dilations are consistent with the given scale factor and transformation.

Who needs properties of dilations?

01
Properties of dilations are needed by mathematicians, especially in the field of geometry.
02
Architects and engineers also need to understand properties of dilations to accurately scale and resize structures and blueprints.
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Artists and designers may use dilations to create proportional and visually appealing artwork.
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In general, anyone studying or applying concepts of geometry, transformations, or proportions can benefit from understanding properties of dilations.
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Properties of dilations are mathematical characteristics that describe how a figure changes size, but not shape, when it is enlarged or reduced.
Individuals or entities involved in real estate transactions may be required to file properties of dilations.
Properties of dilations can be filled out by providing the necessary information about the property being enlarged or reduced.
The purpose of properties of dilations is to document the changes in size of a figure without changing its shape.
Information such as the scale factor, center of dilation, and the preimage and image of the figure must be reported on properties of dilations.
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