Question

XY¯¯¯¯¯¯¯¯
is dilated with a scale factor of 2 and a center of dilation at the origin. Find points X′
and Y′
.

(1 point)
Responses

X′
is at (−6,8)
and Y′
is at (−14,4)
cap x prime is at open paren negative 6 comma 8 close paren and cap y prime is at open paren negative 14 comma 4 close paren

X′
is at (6,−8)
and Y′
is at (14,−4)
cap x prime is at open paren 6 comma negative 8 close paren and cap y prime is at open paren 14 comma negative 4 close paren

X′
is at (−4,1)
and Y′
is at (−12,5)
cap x prime is at open paren negative 4 comma 1 close paren and cap y prime is at open paren negative 12 comma 5 close paren

X′
is at (−1.5,2)
and Y′
is at (−3.5,1)
cap x prime is at open paren negative 1 point 5 comma 2 close paren and cap y prime is at open paren negative 3 point 5 comma 1 close paren

Answer 1

X′ is at (−6, 8) and Y′ is at (−14, 4).

Reason: dilation by 2 about the origin multiplies each coordinate by 2: X(−3,4) → X′(−6,8), Y(−7,2) → Y′(−14,4).