Question

practica #4
figure original eje de x eje de y
(x,-y) (-x,-y)
a(4,-1) a() a()
b(2,-1) b() b()
c(2,-4) c() c()
d(0,-4) d() d()

Explanation:

Step1: Find coordinates for reflection over x - axis

For a point \((x,y)\) reflected over the \(x\) - axis, the formula is \((x,-y)\).

• For \(A(4, - 1)\): \(A'(4,1)\)
• For \(B(2,-1)\): \(B'(2,1)\)
• For \(C(2,-4)\): \(C'(2,4)\)
• For \(D(0,-4)\): \(D'(0,4)\)

Step2: Find coordinates for reflection over y - axis

For a point \((x,y)\) reflected over the \(y\) - axis, the formula is \((-x,y)\).

• For \(A(4, - 1)\): \(A''(-4,-1)\)
• For \(B(2,-1)\): \(B''(-2,-1)\)
• For \(C(2,-4)\): \(C''(-2,-4)\)
• For \(D(0,-4)\): \(D''(0,-4)\)

Answer:

• \(A'(4,1)\), \(A''(-4,-1)\)
• \(B'(2,1)\), \(B''(-2,-1)\)
• \(C'(2,4)\), \(C''(-2,-4)\)
• \(D'(0,4)\), \(D''(0,-4)\)