Determine the coordinates of the vertices of the image of △ABC after a reflection in the line y=−x. A(3, 4)→ A′ ( )
B(3, 2)→ B′ ( )
C(−1, 2)→ C′ ( )

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:

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See below.

Step-by-step explanation:

A(3, 4)→ A′ (-4, -3)

B(3, 2)→ B′ (-2, -3)

C(−1, 2)→ C′ (-2, 1)

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step-by-step explanation: