write the coordinates of the vertices after a dilation with a scale factor of 5, centered at the…

write the coordinates of the vertices after a dilation with a scale factor of 5, centered at the origin.\n$d(\\square, \\square)$\n$e(\\square, \\square)$\n$f(\\square, \\square)$

write the coordinates of the vertices after a dilation with a scale factor of 5, centered at the origin.\n$d(\\square, \\square)$\n$e(\\square, \\square)$\n$f(\\square, \\square)$

Answer

Answer:

$D'(5, -5)$ $E'(5, 10)$ $F'(-10, 0)$

Explanation:

Step1: Identify original coordinates

Original points: $D(1, -1)$, $E(1, 2)$, $F(-2, 0)$

Step2: Apply dilation rule

Dilation formula: $(x,y) \to (5x, 5y)$

Step3: Calculate $D'$

$D'(5\times1, 5\times(-1)) = (5, -5)$

Step4: Calculate $E'$

$E'(5\times1, 5\times2) = (5, 10)$

Step5: Calculate $F'$

$F'(5\times(-2), 5\times0) = (-10, 0)$