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Segment AB has endpoints A (-2,8) and B (4,0) . The segment is dilated about the origin by a scale factor of 0.5 to create segment A’B’.What are the endpoints of segment A’B’?

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we have that

The rule of the dilation about the origin with a scale factor of 0.5 is

(x,y) ------> (0.5x,0.5y)

Applying the rule to the given points

A(-2,8) ------------> A'(-1,4)

B(4,0) -------------> B'(2,0)

therefore

A'(-1,4) and B'(2,0)

User Younes El Ouarti
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