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The rectangle G’H’I’J’ is a dilation of the rectangle GHIJ. What is the scale factor of the dilation?

The rectangle G’H’I’J’ is a dilation of the rectangle GHIJ. What is the scale factor of the dilation?

1) 1/2
2) 2
3) 3
4) 4




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1 Answer

  1. To determine the scale factor of the dilation from rectangle GHIJ to rectangle G’H’I’J’, we need to compare the lengths of corresponding sides.

    If the sides of rectangle GHIJ are each multiplied by a certain factor to obtain the sides of rectangle G’H’I’J’, that factor is our scale factor. Here’s how you can figure it out:

    1. Find the lengths of corresponding sides of both rectangles.
    2. Divide the length of a side of G’H’I’J’ by the length of the same side of GHIJ.

    For example, if the side of GHIJ is 2 units and the corresponding side of G’H’I’J’ is 4 units, the scale factor would be 4/2 = 2.

    If you could provide the specific lengths or ratios, I could help you find the exact scale factor. However, based on the options given:

    – If the length of G’H’I’J’ is half of GHIJ, the scale factor is 1/2.
    – If the length of G’H’I’J’ is double, then the scale factor is 2.
    – If it’s three times longer, the scale is 3.
    – If it’s four times longer, then the scale factor is 4.

    Once you calculate the ratio, you’ll know the correct answer! If all lengths are given, feel free to share those, and I can assist you further.

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