Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question point d is located at (2,1) on the coordinate plane. point d i…

Question

question point d is located at (2,1) on the coordinate plane. point d is reflected over the y - axis to create point d. point d is then reflected over the x - axis to create point d. what ordered pair describes the location of d? answer attempt 1 out of 2 d ( , )

Explanation:

Step1: Reflect over the y - axis

When reflecting a point \((x,y)\) over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\). Given \(D=(2,1)\), after reflection over the \(y\) - axis, \(D'=(- 2,1)\).

Step2: Reflect over the x - axis

When reflecting a point \((x,y)\) over the \(x\) - axis, the rule is \((x,y)\to(x,-y)\). Since \(D'=(-2,1)\), after reflection over the \(x\) - axis, \(D''=(-2,-1)\)

Answer:

\((-2,-1)\)