Question

question 4
a triangle has vertices at a(-2, 2), b(1, 1) and c(3, 2). which of the following transformations produces an image with vertices a(2, -2), b(-1, -1) and c(-2, -3)?
(x,y)→(x, -y)
(x,y)→(y, x)
(x,y)→(-x, y)
(x,y)→(y, -x)

Explanation:

Step1: Analyze transformation for point A

Original A is (-2, 2), new A' is (2, -2). If we consider the transformation (x,y)→(-x,-y), for A(-2,2), -(-2) = 2 and - 2=-2.

Step2: Analyze transformation for point B

Original B is (1,1), new B' is (-1,-1). For B(1,1), applying (x,y)→(-x,-y), -1=-1 and -1 = - 1.

Step3: Analyze transformation for point C

Original C is (3,2), new C' is (-3,-2). For C(3,2), applying (x,y)→(-x,-y), -3=-3 and -2=-2.

Answer:

(x,y)→(-x,-y)