High School

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5. Which statement correctly explains why figures ABCD and WXYZ are similar?



Figure WXYZ is a dilation of figure ABCD by a scale factor of 4.

Figure WXYZ is a dilation of figure ABCD by a scale factor of 5.

Figure ABCD is a dilation of figure WXYZ by a scale factor of 4.

Figure ABCD is a dilation of figure WXYZ by a scale factor of 5

I’ll give 100 points

5 Which statement correctly explains why figures ABCD and WXYZ are similar Figure WXYZ is a dilation of figure ABCD by a scale factor of

Answer :

Answer:

D) Figure ABCD is a dilation of figure WXYZ by a scale factor of 5.

Step-by-step explanation:

Dilation is a geometric transformation that alters the size of a figure whilst preserving its shape, and is achieved by multiplying (or dividing) all its dimensions by a constant factor called the 'scale factor'.

Figures ABCD and WXYZ are both squares due to their equal side lengths and perpendicular adjacent sides.

Square ABCD has a side length of 5 units, while square WXYZ has a side length of 1 unit. Therefore, to transition from square WXYZ to square ABCD, we multiply the side lengths of WXYZ by 5. This implies that:

  • Figure ABCD is a dilation of figure WXYZ by a scale factor of 5.

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