Question

What coordinate for F would make triangle ABC and triangle DEF congruent ?

Answer 1

The answer is (-2, 3) but due to brainly's "guidelines" on posting an answer, apparently I have a link or inappropriate words, so message me or something and I'll give you my working.

Answer 2

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:

$(x, y) \rightarrow (-x, y)$

Apply the rule of reflection on ABC we have;

$A(1, 0) \rightarrow (-1, 0)=D$

$B(-1, 2) \rightarrow (-(-1), 2)=(1, 2)=E$

$C(2, 3) \rightarrow F(-2, 3)$

Therefore, the  coordinate of  F would make triangle ABC and triangle DEF congruent is, (-2, 3)