Question

1. (\triangle jkl: j(1,3), k(5,0), l(7,4)) translation: along ((-3,0)) reflection: in (x)-axis

Explanation:

Step1: Translation

Translation along \((-3,0)\) means subtract \(3\) from \(x\)-coordinate.
For \(J(1,3)\): \((1 - 3,3)=(-2,3)\)
For \(K(5,0)\): \((5 - 3,0)=(2,0)\)
For \(L(7,4)\): \((7 - 3,4)=(4,4)\)

Step2: Reflection in \(x\)-axis

Reflection in \(x\)-axis changes \(y\)-coordinate sign.
For \((-2,3)\): \((-2,-3)\)
For \((2,0)\): \((2,0)\)
For \((4,4)\): \((4,-4)\)

Answer:

\(J'(-2,-3)\), \(K'(2,0)\), \(L'(4,-4)\)