Question

refer to the figure below. if the triangle is reflected across the x - axis, the coordinates of the new vertices will be (1, - 1), (3, - 3), and ______.
options:
(-2, 4)
(2, 4)
(2, - 4)
(-2, - 4)

Explanation:

Step1: Identify missing original vertex

First, find the third vertex of the original triangle from the graph. The given reflected vertices correspond to original vertices (1,1) and (3,3). The third original vertex is (2,4).

Step2: Apply x-axis reflection rule

The rule for reflecting a point $(x,y)$ across the x-axis is $(x, -y)$.
For the vertex (2,4):
$x=2$, $-y = -4$
So the reflected point is $(2, -4)$.

Answer:

C. (2, -4)