Question

drawing transformations
determining the new points
if triangle abc is reflected across the x - axis, what are the coordinates of point a?
(□,□)

Explanation:

Step1: Find original coordinates of A

From the graph, point A is at (3, -1) (since it's 3 units right on x - axis and 1 unit down on y - axis).

Step2: Apply reflection over x - axis

The rule for reflection over the x - axis is \((x,y)\to(x, - y)\). For point A(3, - 1), when we reflect over the x - axis, the x - coordinate remains the same and the y - coordinate changes its sign. So, the new y - coordinate is \(-(-1)=1\). So the coordinates of \(A'\) are (3, 1).

Answer:

(3, 1)