To translate the rectangle in Quadrant III to make it congruent to the rectangle in Quadrant I, we need to translate it horizontally by 6 units and vertically by 6 units.
So, the new coordinates after translation will be:
(-1+6, -4+6) = (5, 2)
(-5+6, -4+6) = (1, 2)
(-1+6, -6+6) = (5, 0)
(-5+6, -6+6) = (1, 0)
Therefore, the new coordinates of the rectangle in Quadrant III after the translation will be (5,2) (1,2) (5,0) and (1,0).
The first step to determine that the rectangle in Quadrant III is congruent to the rectangle in Quadrant I was to rotate the first rectangle 90 degrees clockwise about the origin. The next step is translating it, but what coordinates do we translate it by? (The current coordinates are -1,-4 -5,-4 -1,-6 and -5,-6)
1 answer
1 answer