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A coordinate plane with four quadrants shows an x axis capped with arrows and ranging from negative 11 to 10 in 1 unit increments and a y axis capped with arrows and ranging from 12 to negative 12 in 1 unit increments. Points upper A, upper B, upper A prime, and upper B prime are plotted. A coordinate plane with four quadrants shows an x axis capped with arrows and ranging from negative 11 to 10 in 1 unit increments and a y axis capped with arrows and ranging from 12 to negative 12 in 1 unit increments. Point upper A is plotted as left parenthesis negative 3 comma 4 right parenthesis and point upper B is plotted as left parenthesis 2 comma negative 4 right parenthesis. The points are joined by a line that extends beyond the points and is capped with arrows at both ends. Point upper A prime is plotted as left parenthesis negative 6 comma 8 right parenthesis and point upper B prime is plotted as left parenthesis 4 comma negative 8 right parenthesis. The points are joined by a line that extends beyond the points and is capped with arrows at both ends.
Determine the scale factor used in the dilation of line AB
, with a center point of dilation at the origin.
(1 point)
The scale factor is
.
Remaining Attempts : 3
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Answered by
GPT-5 mini
AI
2
Explanation: A' = 2·A (−3,4) → (−6,8) and B' = 2·B (2,−4) → (4,−8), so the dilation scale factor from the origin is 2.
Explanation: A' = 2·A (−3,4) → (−6,8) and B' = 2·B (2,−4) → (4,−8), so the dilation scale factor from the origin is 2.
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