Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the coordinates of point ( d ) after point ( d ) is reflected acro…

Question

find the coordinates of point ( d ) after point ( d ) is reflected across the ( x - \text{axis} ).
list the coordinates of point ( d ).
( dleft(\begin{array}{ll}? &?end{array}
ight) )

Explanation:

Step1: Recall the reflection rule

When a point \((x,y)\) is reflected across the \(x -\)axis, the \(x -\)coordinate remains the same, and the \(y -\)coordinate changes its sign. The rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(D(-1,3)\)

For point \(D(-1,3)\), where \(x=-1\) and \(y = 3\). After reflection across the \(x -\)axis, the \(x -\)coordinate is still \(x=-1\), and the new \(y -\)coordinate is \(y=-3\).

Answer:

\(D'(-1,-3)\)