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 point (-2,3). the quadrilateral is dilated by a scale factor of 2, with the center of dilation at the origin, to form quadrilateral abcd. which ordered pair represents the location of vertex a? show your work
a (-4,5)
b (-4,6)
c (0,5)
d (6,-4)

Explanation:

Step1: Recall the rule for dilation

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

Step2: Apply the formula

Given the point \(A(-2,3)\) and scale factor \(k = 2\).
For the \(x -\)coordinate: \(x'=2\times(-2)=- 4\)
For the \(y -\)coordinate: \(y'=2\times3 = 6\)

Answer:

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