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

Question

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

Accepted Answer

∻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.⚹◊What is the formula for calculating the length of a segment after dilating by a scale factor of 3?⍭ Generate me a similar question◊

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