Question

the vertices of △ abc are a(-5,5), b(-2,4), and c(-3,3). if △ abc is reflected across the y-axis to produce the image △ abc, find the coordinate of the vertex b.
b ( , )

Explanation:

Step1: Recall reflection over y - axis rule

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

Step2: Apply the rule to point B

The coordinates of point \(B\) are \((-2,4)\). Using the reflection rule, for \(x=-2\) and \(y = 4\), the new \(x\) - coordinate is \(-(-2)=2\) and the \(y\) - coordinate remains \(4\). So the coordinates of \(B'\) are \((2,4)\).

Answer:

\(B'(2,4)\)