Respuesta :
Answer:
See below.
Step-by-step explanation:
A(3, 4)→ A′ (-4, -3)
B(3, 2)→ B′ (-2, -3)
C(−1, 2)→ C′ (-2, 1)
The coordinates of the vertices of the image of △ABC after a reflection in the line y=−x are A'(-4,-3), B'(-2,-3), and C'(-2,1) and this can be determined by using the rules of transformation.
Given :
The triangle ABC is reflected about the line (y = -x).
The following steps can be used in order to determine the coordinates of the vertices of the image of △ABC after a reflection in the line (y = −x):
Step 1 - Let the coordinate be (x,y) so after the reflection about (y = -x) the coordinate becomes (-y,-x).
Step 2 - The coordinate A(3,4) after the reflection about (y = -x) becomes A'(-4,-3).
Step 3 - The coordinate B(3,2) after the reflection about (y = -x) becomes B'(-2,-3).
Step 4 - The coordinate C(-1,2) after the reflection about (y = -x) becomes C'(-2,1).
For more information, refer to the link given below:
https://brainly.com/question/11709244
