Question

find the coordinates of point a after dilating triangle abc by a scale factor of 2 with a center of dilation at the origin. point a=(3,-4)
(1 point)
(6,-8)
(1.5,-2)
(-3,4)
(3,4)

Explanation:

Step1: Apply the dilation formula

When dilating a point \((x,y)\) with a scale factor \(k\) and center of dilation at the origin \((0,0)\), the formula is \((x',y')=(k\times x,k\times y)\). Here \(x = 3\), \(y=-4\) and \(k = 2\).

Step2: Calculate the new \(x\) - coordinate

\(x'=2\times3 = 6\)

Step3: Calculate the new \(y\) - coordinate

\(y'=2\times(-4)=-8\)

Answer:

A. \((6, - 8)\)