In this section, you will compare similar rectangles. Before starting select “measures” on the right hand side.

1. Move one of the green vertices on rectangle A. Note the perimeters of both rectangles.
2. Move the second green vertex on rectangle A. Again, note the perimeters of both rectangles.
3. Describe the ratio of the perimeters.

Interactive popup. Assistance may be required.

Check Your Answer

The ratio of rectangle B to rectangle A is always 2.

Investigating Connections between Measurements and Scale Factors of Similar Figures

Refer to the diagram to answer the following questions. Click on the blanks to check your answers.

1. Rectangle 1: Length = 3 and width = 2
   Rectangle 2: Length = 6 and width = 4
   Perimeter of Rectangle 1 = Interactive button. Assistance may be required. __________ 10
   Perimeter of Rectangle 2 = Interactive button. Assistance may be required. __________ 20
   The length of Rectangle 2 is Interactive button. Assistance may be required. __________ 2 times the length of Rectangle 1.
   The width of Rectangle 2 is Interactive button. Assistance may be required. __________ 2 times the width of Rectangle 1.
   The perimeter of Rectangle 2 is Interactive button. Assistance may be required. __________ 2 times the perimeter of Rectangle 1.
   


2. In your notes, draw the following rectangles:
   Rectangle 1: Length = 1 and width = 2
   Rectangle 2: Length = 3 and width = 6
   Perimeter of Rectangle 1 = Interactive button. Assistance may be required. __________ 6
   Perimeter of Rectangle 2 = Interactive button. Assistance may be required. __________ 18
   The length of Rectangle 2 is Interactive button. Assistance may be required. __________ 3 times the length of Rectangle 1.
   The width of Rectangle 2 is Interactive button. Assistance may be required. __________ 3 times the width of Rectangle 1.
   The perimeter of Rectangle 2 is Interactive button. Assistance may be required. __________ 3 times the perimeter of Rectangle 1.
   


3. In your notes, create the following rectangles: MAKE SURE THE RECTANGLES ARE SIMILAR!
   Rectangle 1: Perimeter = 8
   Rectangle 2: Perimeter = 16
   The dimensions of Rectangle 1 are Interactive button. Assistance may be required. __________ 1 by 3 or Interactive button. Assistance may be required. __________ 2 by 2
   The dimensions of Rectangle 2 are Interactive button. Assistance may be required. __________ 2 by 6 or Interactive button. Assistance may be required. __________ 4 by 4
   The perimeter of Rectangle 2 is Interactive button. Assistance may be required. __________ 2 times the perimeter of Rectangle 1.
   The length of Rectangle 2 is Interactive button. Assistance may be required. __________ 2 times the length of Rectangle 1.
   The width of Rectangle 2 is Interactive button. Assistance may be required. __________ 2 times the width of Rectangle 1.