Question

problem 6:
describe a sequence of transformations that maps triangle xyz onto triangle xyz.
3 quadrilateral abcd is graphed on a coordinate plane. vertex a is located at the (-2,3). the quadrilateral is dilated by a scale factor of 2, with the center of dilat origin, to form quadrilateral abcd. which ordered pair represents the locatic vertex a?
show your work
a (-4,5)
b (-4,6)
c (0,5)
d (6,-4)

Explanation:

Step1: Apply dilation formula

When a point \((x,y)\) is dilated by a scale factor \(k\) with the center of dilation at the origin \((0,0)\), the formula for the new point \((x',y')\) is \(x' = kx\) and \(y'=ky\). Here, \(k = 2\), \(x=-2\), and \(y = 3\).

Step2: Calculate \(x'\) and \(y'\)

For \(x\)-coordinate: \(x'=2\times(-2)=-4\). For \(y\)-coordinate: \(y'=2\times3 = 6\).

Answer:

B. \((-4,6)\)