Answer:
The coordinates of triangle C on the grid are
(-5,4) , (-2,2) and (-2,4)
Step-by-step explanation:
We can identify the coordinates of the vertices of the triangles so as to get a diagram
For the first triangle, we have the following coordinates;
(4,5) , (2,2) and (4,2)
Now, let us get the coordinates of triangle B after reflecting triangle A in the x-axis
what we have in this case is that the x-axis coordinates stays same while the y-axis values are negated
Hence, the coordinates of triangle B are;
(4,-5) , (2,-2) and (4,-2)
Lastly we are to reflect triangle B in the line y = x so we get triangle C
A reflection over the line y= x means that we are going to switch the place of the x and y coordinates of the pre-image
So, the coordinates of triangle C are;
(-5,4) , (-2,2) and (-2,4)