Question

write the set of coordinates for a reflection of the figure over the y - axis: $(-2,3),(-1,3),(-1,2)$.\
\
\ta $(2,-3),(1,-3),(1,-2)$\
\
\tb $(-2,-3),(-1,-3),(-1,-2)$\
\
\tc $(3,-2),(3,-1),(2,-1)$\
\
\td $(2,3),(1,3),(1,2)$

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\).

Step2: Apply the rule to each point

• For the point \((-2,3)\): Using the rule \((x,y)\to(-x,y)\), we substitute \(x = - 2\) and \(y = 3\). Then \(-x=-(-2)=2\), so the reflected point is \((2,3)\).
• For the point \((-1,3)\): Substitute \(x=-1\) and \(y = 3\) into the rule. \(-x=-(-1)=1\), so the reflected point is \((1,3)\).
• For the point \((-1,2)\): Substitute \(x = - 1\) and \(y=2\) into the rule. \(-x=-(-1)=1\), so the reflected point is \((1,2)\).

Answer:

d. \((2, 3),(1, 3),(1, 2)\)