A scale factor can be used to generate a dilation of a figure. If the scale factor is less than 1, then the image, or new figure, will be smaller than the preimage, or original figure. This type of dilation is called a reduction.
An art studio is promoting three-dimensional chalk art. They are sending out postcards with a three-dimensional art image. The picture on the post card has to be 3 inches in width by 4 inches in length. The original image is 5 inches in width by b inches in length. What is the length of the original image?
Drag the tiles representing the numbers to their appropriate place in the proportion below. Use the proportion to solve the problem. Use your results to answer the questions that follow.
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62 over 3 2 3 inchesInteractive popup. Assistance may be required.
5 over 3 5 3In the example problem, you used information provided to determine a scale factor and then determine the missing length. How could you use a proportion to obtain an answer?
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In similar figures, the ratios of the lengths of corresponding sides are equal. Write an equation where the ratios of corresponding side lengths are set equal to each other. Then solve the equation to determine the missing side length.Interactive popup. Assistance may be required.
Use the scale factor to reduce the dimensions of the actual Astrodome to the dimensions of the scale model.Interactive popup. Assistance may be required.
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Set up and solve an equation of proportions.Interactive popup. Assistance may be required.
Height of Original over Height of Replica Height of Original Height of Replica = Height of Original over Height of Replica Sleeve Length of Original Sleeve Length of ReplicaInteractive popup. Assistance may be required.
Determine the number that could be multiplied by the original height in order to generate the height of the replica. Be sure that your units of measure are the same.Interactive popup. Assistance may be required.
18 inches = 1.5 feet