Name Date Dilations and Scale Factors Independent Practice Worksheet Complete all the problems. 1. Graph the image of rectangle KLMN after dilation with a scale factor of 2, centered at the origin.
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- Press the ‘Get Form’ button to obtain the worksheet and access it in the online editor.
- Enter your name in the designated field at the top of the worksheet. This helps personalize your work and keeps your submissions organized.
- Input the date in the space provided. Ensure you use the current date of completion for your records.
- Begin solving the problems listed below the date. For each problem, carefully read the instructions to graph the image of the specified rectangle after dilation with the given scale factor, centered at the origin.
- For each graphing problem, use graph paper or an online graphing tool to accurately plot the rectangles according to the scale factor. Make adjustments as necessary for clarity.
- Once you complete all the problems, review your answers for accuracy and clarity.
- Save your changes to the worksheet. You may then choose to download a copy, print it for physical submission, or share it online as needed.
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What is 0 3 after a dilation by a scale factor of 2 centered at the origin?
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).
How do you dilate by a scale factor of 2 about the origin?
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).
What is the image of (- 3 4 after a dilation by a scale factor of 3 centered at the origin?
Given is the coordinate of point (- 3, 4). Therefore, after the dilation, the coordinates will become (- 9, 12).
What is the image of (- 3 0 after a dilation by a scale factor of 2 centered at the origin?
Therefore, the image of the point (-3, 0) after a dilation by a scale factor of 2 centered at the origin is (-6, 0).
How do you dilate a figure with a scale factor of 2 centered at the origin?
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.
How to calculate scale factor?
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.
What is the scale factor of the dilation answer?
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 scale factor of the dilation 1 3 2 3?
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.
What is the scale factor for dilation?
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.
What is the image of 6 4 after a dilation by a scale factor of 3 centered at the origin?
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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