Question

question 2 of 10
if the trapezoid below is reflected across the x - axis, what are the coordinates of b?
a. (-8, -3)

Explanation:

Step1: Determine the original coordinates of point B

From the graph, the original coordinates of point B are \((1,8)\).

Step2: Apply the reflection rule across the x - axis

The rule for reflecting a point \((x,y)\) across the x - axis is \((x,-y)\).
For point B with \((x = 1,y = 8)\), after reflection, the y - coordinate changes its sign. So the new coordinates are \((1,-8)\). But since there is no option for \((1,-8)\) in the provided choices (assuming there might be a mis - label in the problem setup, if we consider the general reflection formula):
Let's re - check the reflection formula. If we assume the original point B is \((1,8)\), reflection over x - axis gives \((1,-8)\). But if we consider the problem might have a typo and we use the formula \((x,y)\to(x, - y)\) generally.

Answer:

If we assume the options are mis - numbered (since the correct reflection of \((1,8)\) over x - axis is \((1,-8)\)), but if we follow the formula for reflection over x - axis \((x,y)\to(x,-y)\) strictly. If the original point B (from the graph) has coordinates \((1,8)\), after reflection, the coordinates are \((1,-8)\). But since the options are not complete in the user - provided content (only option A is shown as \((-8,-3)\) which is incorrect), using the formula \((x,y)\to(x,-y)\) is the key.