Question

△rst is shown in the coordinate plane. it will be reflected across the y - axis to form △rst.
complete the table to show the coordinates
of △rst and its image.
△rst △rst
r(1, - 4) ?
s(3, - 4) ?
t(4, - 2) ?

Explanation:

Step1: Recall the reflection rule

When reflecting a point \((x,y)\) across the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).

Step2: Apply the rule to point \(R\)

For \(R(1, - 4)\), using the rule \((x,y)\to(-x,y)\), we substitute \(x = 1\) and \(y=-4\). So \(R'\) has coordinates \((-1,-4)\).

Step3: Apply the rule to point \(S\)

For \(S(3,-4)\), substitute \(x = 3\) and \(y =-4\) into the rule \((x,y)\to(-x,y)\). So \(S'\) has coordinates \((-3,-4)\).

Step4: Apply the rule to point \(T\)

For \(T(4,-2)\), substitute \(x = 4\) and \(y=-2\) into the rule \((x,y)\to(-x,y)\). So \(T'\) has coordinates \((-4,-2)\).

Answer:

\(\triangle{RST}\)	\(\triangle{R'S'T'}\)
\(S(3,-4)\)	\(S'(-3,-4)\)
\(T(4,-2)\)	\(T'(-4,-2)\)