Answer:
The correct options are presented as follows;
ΔABC is <u>reflected across the y-axis</u> to become ΔA'B'C' is rotated 90° <u>counterclockwise about the origin</u> to become ΔA''B''C''. Because the transformations are <u>rigid transformations</u> the preimage and image are <u>congruent</u>
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 <u>reflection across the y-axis</u>
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 <u>rotation of 90° counterclockwise</u> 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 <u>rigid transformation</u>, the figures of the preimage and the image are <u>congruent</u>
Therefore, we have;
ΔABC is <u>reflected across the y-axis</u> to become ΔA'B'C' is rotated 90° <u>counterclockwise about the origin</u> to become ΔA''B''C''. Because the transformations are <u>rigid transformations</u> the preimage and image are <u>congruent.</u>