Question

point d(-1,5) is reflected across the x-axis. which statements about d are true? select each correct answer. the x-coordinate is -1 the y-coordinate is -5 the x-coordinate is 1 the y-coordinate is 5

Explanation:

Step1: Recall reflection over x - axis rule

When a point \((x,y)\) is reflected across the \(x\) - axis, the rule for the reflection is that the \(x\) - coordinate remains the same and the \(y\) - coordinate changes its sign. So, if we have a point \(D(x,y)=(- 1,5)\), after reflecting across the \(x\) - axis, the new point \(D'\) will have coordinates \((x,-y)\).

Step2: Apply the rule to point \(D(-1,5)\)

For the \(x\) - coordinate of \(D(-1,5)\), since the \(x\) - coordinate remains unchanged during reflection over the \(x\) - axis, the \(x\) - coordinate of \(D'\) is \(-1\). For the \(y\) - coordinate, we change the sign of \(y = 5\), so the \(y\) - coordinate of \(D'\) is \(-5\).

Answer:

A. The x - coordinate is - 1
B. The y - coordinate is - 5