Answer:
The correct options are presented as follows;
ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent
Step-by-step explanation:
The coordinate of the preimage point A = (-2, 1)
The coordinate of the image point A' = (2, 1)
Similar for points B(-5, -2) and B'(5, -2), C(-3, -4) and C'(3, -4)
Which is equivalent to a reflection across the y-axis
Similarly, we have;
The coordinate of the preimage point A' = (2, 1)
The coordinate of the image point A'' = (-1, 2)
Which is equivalent to rotation of 90° counterclockwise which involves transforming a preimage (x, y) to an image (-y, x)
Similar for points B and B', C and C'
Therefore, because the reflection transformation, and the rotation transformation, are rigid transformation, the figures of the preimage and the image are congruent
Therefore, we have;
ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent.
