Questions: Which proves there's a dilation from A to B that is a reduction with a scale factor of 1/2?

Which proves there's a dilation from A to B that is a reduction with a scale factor of 1/2?
Transcript text: Which proph theres a dilation from $A$ to $B$ that is a reduction with a scale factor of $\frac{1}{2}$?
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem asks which graph shows a dilation from \( A \) to \( B \) that is a reduction with a scale factor of \( \frac{1}{2} \).

Step 2: Identify the Scale Factor

A scale factor of \( \frac{1}{2} \) means that the image should be half the size of the original figure. This involves reducing the distance of each point from the center of dilation by half.

Step 3: Analyze the Graphs

Examine each graph to determine which one shows the figure \( B \) as half the size of figure \( A \).

Step 4: Compare the Figures
  • First Graph: The image does not appear to be half the size of the original.
  • Second Graph: The image does not appear to be half the size of the original.
  • Third Graph: The image does not appear to be half the size of the original.
  • Fourth Graph: The image appears to be half the size of the original.

Final Answer

The fourth graph shows a dilation from \( A \) to \( B \) that is a reduction with a scale factor of \( \frac{1}{2} \).

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