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c. Explain how you know that Rectangle C is not a scaled copy of Rectangle B. d. Is Rectangle A a scaled...

c. Explain how you know that Rectangle C is not a scaled copy of Rectangle B.
d. Is Rectangle A a scaled copy of Rectangle C? If so, what is the scale factor?
e. Draw a scaled copy of Polygon B with scale factor 2. Doesn't need to be to scale, just label the sides.
f. Draw a scaled copy of Polygon C with scale factor 1/4. Doesn't need to be to scale, just label the sides.

Answer

  1. Rectangle C is not a scaled copy of Rectangle B because the scale factor is not consistent for all sides. For a shape to be a scaled copy, all corresponding sides must be multiplied by the same scale factor. The calculations show different factors for different sides.

  2. Rectangle A is not a scaled copy of Rectangle C because the sum of the sides of Rectangle A (30 + 20) does not match the sum of the scaled sides of Rectangle C (30 + 15).

  3. Scaled copy of Polygon B with scale factor 2: Double the length of each side of Polygon B. If the original sides are labeled as a, b, c, etc., the new sides will be 2a, 2b, 2c, etc.

  4. Scaled copy of Polygon C with scale factor 1/4: Multiply the length of each side of Polygon C by 1/4. If the original sides are labeled as x, y, z, etc., the new sides will be x/4, y/4, z/4, etc.

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