Question

question 9 (multiple choice worth 1 points) (02.51r mc) a triangle has vertices at b(-3,0), c(2,-1), d(-1,2). which transformation would produce an image with vertices b(1,-2), c(0,3), d*(3,0)? (x,y)→(x + 1,y + 1)→(y,x) (x,y)→(x + 1,y + 1)→(-x,y) (x,y)→(x,-y)→(x + 2,y + 2) (x,y)→(-x,y)→(x + 2,y + 2)

Explanation:

Step1: Check each transformation for point \(D(-1,2)\)

For \((x,y)\to(x + 1,y + 1)\to(y,x)\)

• First transformation: \((-1,2)\to(-1 + 1,2+1)=(0,3)\)
• Second transformation: \((0,3)\to(3,0)\)

Step2: Check other transformations for \(D(-1,2)\)

For \((x,y)\to(-x,y)\to(x + 2,y + 2)\)

• First transformation: \((-1,2)\to(1,2)\)
• Second transformation: \((1,2)\to(1 + 2,2+2)=(3,4)

eq(3,0)\)

For \((x,y)\to(x,-y)\to(x + 2,y + 2)\)

• First transformation: \((-1,2)\to(-1,-2)\)
• Second transformation: \((-1,-2)\to(-1 + 2,-2+2)=(1,0)

eq(3,0)\)

For \((x,y)\to(x + 1,y + 1)\to(-x,y)\)

• First transformation: \((-1,2)\to(-1 + 1,2+1)=(0,3)\)
• Second transformation: \((0,3)\to(0,3)

eq(3,0)\)

Answer:

\((x,y)\to(x + 1,y + 1)\to(y,x)\)