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Is Line BC Parallel to Line DE? Choose the Best Justification Line BC Is Parallel to Line DE Becase Triangle ABC Is a Dilation of

Question

Is line BC parallel to line DE? Choose the best justification Line BC is parallel to line DE becase triangle ABC is a dilation of triangle ADEby a scale factor fo 3 from point A Line HC is parallel to line DE becase triangle ABC is a dilation of triangle ADEby a scale factor to 2 from point A Line BC is parallel to line DE becase triangle ABC is a ditation of triangle ADEby a scale factor to (4)/(3) from point Line BC is not parallel to line DE becase there is no dilation that sends triangle ADE to triangle ABC

Answer

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Answer

Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE from point A.

Explanation

## Step1In geometry, a dilation is a transformation that changes the size of a figure without altering its shape. This means that every line in triangle ABC is a scaled version of the corresponding line in triangle ADE.## Step2The question states that triangle ABC is a dilation of triangle ADE. This means that every line in triangle ABC is a scaled version of the corresponding line in triangle ADE. Hence, if triangle ABC is indeed a dilation of triangle ADE, then line BC would be a dilation of line DE, and therefore, they would be parallel.## Step3However, the scale factor is not relevant in determining whether the lines are parallel or not. The important factor is the dilation itself. If a dilation exists, then the lines are parallel, regardless of the scale factor.