Dilating rectangles

Rectangles were made by cutting an 8.5-inch by 11-inch piece of paper in half, in half again, and so on, as illustrated in the diagram. Find the lengths of each rectangle and enter them in the appropriate table. Name the rectangles that are scaled copies of the full sheet of paper (Rectangle A).

• B

• C

• D

• E

Rectangles were made by cutting an 8.5-inch by 11-inch piece of paper in half, in half again, and so on, as illustrated in the diagram. Name the rectangles that are not scaled copies of the full sheet of paper

• B

• C

• D

• E

Here is a picture of Rectangle R, which has been evenly divided into smaller rectangles. Two of the smaller rectangles are labeled B and C. Is B a scaled copy of R? If so, what is the scale factor?

Here is a picture of Rectangle R, which has been evenly divided into smaller rectangles. Two of the smaller rectangles are labeled B and C. Is C  a scaled copy of B? If so, what is the scale factor?

Here is a picture of Rectangle R, which has been evenly divided into smaller rectangles. Two of the smaller rectangles are labeled B and C. Is C  a scaled copy of R? If so, what is the scale factor?

Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

• 6 cm by 1.5 cm

• 10 cm by 2 cm

• 13 cm by 4 cm

• 18 cm by 4.5 cm

• 80 cm by 20 cm

Rectangle A has a length of 12 and a width of 8. Rectangle B has a length of 15 and a width of 10. Rectangle C has a length of 30 and a width of 15.

a) Is Rectangle A a scaled copy of Rectangle B? If so, what is the scale factor?

b) Is Rectangle B a scaled copy of Rectangle A? If so, what is the scale factor?