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Name Date Dilations and Scale Factors Independent Practice Worksheet Complete all the problems. 1. Graph the image of rectangle KLM after dilation with a scale factor of 2, centered at the origin.

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How to fill out the Dilations And Scale Factors Independent Practice Worksheet online

This guide provides a step-by-step approach to completing the Dilations And Scale Factors Independent Practice Worksheet online. It is designed to assist users in effectively understanding and filling out the worksheet with clear instructions.

Follow the steps to complete the worksheet with ease.

  1. Press the ‘Get Form’ button to access the workbook. This allows you to open the worksheet in an online editing tool.
  2. Begin by entering your name in the designated field at the top of the worksheet. This personalizes the document.
  3. Fill in the date in the indicated space to provide context for when the worksheet is completed.
  4. Carefully review each problem in the worksheet. Each problem requires you to graph the image of a rectangle after a specified dilation with a given scale factor.
  5. For each problem, find the center of dilation, which is always at the origin (0,0). Use the scale factor provided to enlarge or reduce the size of the rectangle accurately.
  6. Using graph paper or an online graphing tool, plot the original rectangle based on the vertices provided in each question.
  7. Apply the dilation by multiplying each vertex coordinate by the scale factor indicated in the problem. Make sure to calculate the new coordinates accurately.
  8. Once all problems are complete, double-check your work for accuracy.
  9. Finally, save your changes. You may choose to download, print, or share your completed worksheet depending on your needs.

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Expert-Verified Answer The image of the point (0, 3) after dilation by a scale factor of 2 centered at the origin is (0, 6).

Dilation Scale Factor 2: If the scale factor is 2, then every coordinate point of the original triangle is multiplied by the scale factor 2. Therefore, the dilated triangle will be A'B'C' and the coordinate points obtained are A'(0, 4), B'(4, 2), C'(-4, -4).

Given is the coordinate of point (- 3, 4). Therefore, after the dilation, the coordinates will become (- 9, 12).

Therefore, the image of the point (-3, 0) after a dilation by a scale factor of 2 centered at the origin is (-6, 0).

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle.

To find the scale factor, first find the corresponding sides on the two figures. Then, divide the measurement of the new figure by the measurement of the original figure. The resulting value is your scale factor, or how many times larger or smaller your new figure is compared to the original.

The scale factor of dilation describes the change in size of the figure. A scale factor that is x > 1 (greater than 1) is an enlargement. A scale factor that is 0 < x < 1 (greater than 0 but less than 1) is a reduction. Scale factor is often described using the variable k.

What is the required scale factor ? We know that, if we multiply scale factor to the original co-ordinate then we get dilated co-ordinate. So, the scale factor is 1/3.

The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. When the absolute value of the scale factor is less than one, a compression occurs.

Expert-Verified Answer In this case, the image of the point (-6,-4) after dilation by a scale factor of 3 would be (-18,-12), which is obtained by multiplying the X and Y coordinates of the original point by the scale factor.

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