Answer:
Option B is correct
(-2, 3)
Step-by-step explanation:
From the given diagram:
The coordinates of triangle ABC are:
A(1, 0) , B(-1, 2) and C(2, 3).
The coordinates of triangle DEF are:
D(-1, 0) , E(1, 2)
We have to find coordinate F.
Let us consider triangle ABC and triangle DEF congruent.
A ↔ D
B ↔ E
C ↔ F
Using the rule of reflection across y-axis is given by:
[tex](x, y) \rightarrow (-x, y)[/tex]
Apply the rule of reflection on ABC we have;
[tex]A(1, 0) \rightarrow (-1, 0)=D[/tex]
[tex]B(-1, 2) \rightarrow (-(-1), 2)=(1, 2)=E[/tex]
[tex]C(2, 3) \rightarrow F(-2, 3)[/tex]
Therefore, the coordinate of F would make triangle ABC and triangle DEF congruent is, (-2, 3)
