In similar triangles with scale factor k = 1/3, if AB corresponds to DE and AB = 9, what is DE?

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Multiple Choice

In similar triangles with scale factor k = 1/3, if AB corresponds to DE and AB = 9, what is DE?

Explanation:
The scale factor tells you how lengths compare between similar shapes. A factor of 1/3 means lengths in the other triangle are one-third as long as their counterparts. Since AB corresponds to DE and AB = 9, DE = 9 × (1/3) = 3. So DE is 3. The other numbers would imply a different scaling direction or size, which isn’t the case here.

The scale factor tells you how lengths compare between similar shapes. A factor of 1/3 means lengths in the other triangle are one-third as long as their counterparts.

Since AB corresponds to DE and AB = 9, DE = 9 × (1/3) = 3. So DE is 3. The other numbers would imply a different scaling direction or size, which isn’t the case here.

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