In this resource, you will find scale factors between similar figures and then apply scale factors to find missing measurements in similar figures.

The four rectangles below are all similar to each other.

The picture below shows the rectangles placed on a coordinate grid.

Use your notes to answer the following questions.

• What are the coordinates of point A in the graph above?
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  Check Your Answer

  (1.5, 1)
• What are the coordinates of point B in the graph above?
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  Check Your Answer

  (1.8, 1.2)
• What are the coordinates of point C in the graph above?
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  Check Your Answer

  (2.25, 1.5)
• What are the coordinates of point D in the graph above?
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  Check Your Answer

  (3, 2)

Pause and Reflect: How are the coordinates related to the length and width of their corresponding rectangles?

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Check Your Answer

The lengths of the rectangles are the x-coordinates, and the widths of the rectangles are the y-coordinates.

Fill in a table like the one below using the coordinates from the graph. You may create the table in your notes.

Click on the chart to check your answers.

The Scale Factor is the number that is multiplied by the dimensions of a figure to create a similar figure. Examine the table again using just the lengths and widths of our rectangles.