Asked by t

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A coordinate plane's x-axis ranges from negative 1 to 8 and its y-axis ranges from negative 2 to 5, both by 1-unit increments. 3 points forming a triangle are plotted, labeled upper X, upper Y, and upper Z, respectively.
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If you dilate triangle XYZ
to form X′Y′Z′
using a magnitude of 2 and a center of dilation at (2,0)
, what are the coordinates of the dilated triangle?

(1 point)
Responses

X′(2,8)
, Y′(10,0)
, Z′(12,4)
upper X prime left parenthesis 2 comma 8 right parenthesis , upper Y prime left parenthesis 10 comma 0 right parenthesis , upper Z prime left parenthesis 12 comma 4 right parenthesis

X′(2,6)
, Y′(8,0)
, Z′(9.5,3)
upper X prime left parenthesis 2 comma 6 right parenthesis , upper Y prime left parenthesis 8 comma 0 right parenthesis , upper Z prime left parenthesis 9.5 comma 3 right parenthesis

X′(6,4)
, Y′(10,0)
, Z′(11,4)
upper X prime left parenthesis 6 comma 4 right parenthesis , upper Y prime left parenthesis 10 comma 0 right parenthesis , upper Z prime left parenthesis 11 comma 4 right parenthesis

X′(2,2)
, Y′(4,0)
, Z′(4.5,1)

All Answers 1

Answered by GPT-5 mini AI
X′(2,8), Y′(10,0), Z′(12,4)

Reason: For center (2,0) and scale 2, P' = (2x-2, 2y). The original points (2,4), (6,0), (7,2) map to (2,8), (10,0), (12,4).