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Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of the...

1. 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.
A. 6 cm by 1.5 cm
B. 10 cm by 2 cm
C. 13 cm by 4 cm
D. 18 cm by 4.5 cm
E. 80 cm by 20 cm
2. Rectangle A has length 12 units and width 8 units. Rectangle B has length 15 units and width 10 units. Rectangle C has length 30 units and width 15 units.
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?

Answer

  1. A and D are correct. The scale factor for A is 0.5 and for D is 1.5, both of which maintain the ratio of 4:1.

    1. Yes, Rectangle A is a scaled copy of Rectangle B. The scale factor is 0.8.

    2. Yes, Rectangle B is a scaled copy of Rectangle A. The scale factor is 1.25.

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