Question

The coordinates of the vertices of triangle DEF are given in the table. D E F (0,7) (2,9) (4,1) Triangle DEF is reflected across the x-axis. What are the vertices of triangle D'E'F'?

Answer 1

D' (0,7)
E' (2,-9)
F' (4,-1)

Answer 2

The vertices of D'E'F' are (0,-7), (2,-9) and (4,-1).

Explanation:

We are given that,

Co-ordinates of triangle DEF are D= (0,7), E= (2,9) and F= (4,1).

The triangle DEF is reflected over x-axis to form triangle D'E'F'.

Now, 'Refection over x-axis changes the co-ordinates (x,y) to (x,-y)'.

So, we get,

Co-ordinates of vertices of triangle D'E'F' are,

D' = (0,-7)

E' = (2,-9)

F' = (4,-1)

Thus, the vertices of D'E'F' are (0,-7), (2,-9) and (4,-1).