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 x-coordinate is 1; the y-coordinate is -5; 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 \(D(x,y)\), after reflection across the \(x\) - axis, the new point \(D'\) has coordinates \((x, - y)\).

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

For the point \(D(-1,5)\), where \(x=-1\) and \(y = 5\). After reflecting across the \(x\) - axis, the \(x\) - coordinate of \(D'\) will be the same as the \(x\) - coordinate of \(D\), so \(x=-1\). The \(y\) - coordinate of \(D'\) will be the negative of the \(y\) - coordinate of \(D\), so \(y=-5\).

Answer:

The correct statements are:

• The x - coordinate is - 1
• The y - coordinate is - 5