Math / Geometry

QuestionIn the graph below, circle $T^{\prime}$ is the image of circle $T$ after a dilation. Radii $\overline{T U}$ and $\overline{T^{\prime} U^{\prime}}$ are also shown.
What are the scale factor and center of the dilation? Simplify your answers and write them as fractions or whole numbers. scale factor: $\square$ center of the dilation: ( $\square$ $\square$ Submit Work it out Desk 1

Studdy Solution
Identify the center of the dilation:
Since the circles are concentric and share the same center, the center of the dilation is the origin, $(0, 0)$ .
The scale factor is:
$\boxed{\frac{\sqrt{13}}{4}}$
The center of the dilation is:
$\boxed{(0, 0)}$

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