Question

triangle abc is graphed in the xy - coordinate plane, as shown.part atriangle abc is reflected across the x - axis to form triangle abc what are the coordinates of c after the reflection?a (-6,4)b (3, - 2)c (4, - 6)d (6, - 4)option aoption boption coption d

Explanation:

Step1: Find the coordinates of point C

From the graph, the coordinates of point C are \((6,4)\).

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 \(C(6,4)\), after reflection across the x - axis, the x - coordinate remains the same (\(x = 6\)), and the y - coordinate changes its sign (\(y=-4\)).

Answer:

D. \((6, - 4)\)