The vertices A(–2, –1), B(–3, 2), C(–1, 3), and D(0, 0) form a parallelogram. The vertices A’(–1, –2), B’(2, –3), C’(3, –1), and D’(0, 0) are the image of the parallelogram after a sequence of transformations. Which sequence of transformations could produce the image from the pre-image?

QUESTION POSTED AT 18/04/2020 - 07:39 PM

Answered by admin AT 18/04/2020 - 07:39 PM

Pls. see attachment.

Based on what I graphed, the transformation that happened was a reflection.
It was a reflection in the line y =x.
The rule of reflection in the line y = x: (x,y) → (y,x)

A (–2, –1),   B (–3, 2),  C (–1, 3), and D (0, 0)
A’(–1, –2),   B’(2, –3),   C’(3, –1), and D’(0, 0)

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