Question

Math

Posted 4 months ago

```
Quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is the image of quadrilateral $A B C D$ under a dilation with a scale factor of 3 .
What is the length of segment $\overline{B C}$ ?
$\square$ units
```

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Answer from Sia

Posted 4 months ago

Solution by Steps

step 1

Identify the coordinates of points $B'$ and $C'$ on the grid

step 2

Calculate the distance between points $B'$ and $C'$ using the distance formula

step 3

Since the scale factor of the dilation is 3, divide the distance between $B'$ and $C'$ by 3 to find the length of segment $\overline{BC}$

Answer

The length of segment $\overline{BC}$ is [insert the calculated length] units.

Key Concept

Dilation and Scale Factor

Explanation

The length of a segment after dilation can be found by dividing the length of the dilated segment by the scale factor.

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