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. fill in the blank translate by (____)
The blank should be filled with "reflect across the x-axis".
didnt work what is it translated by
Apologies for the confusion. The correct translation would be "translate by (-x, -y)", where (x, y) represents the coordinates of the origin.
didnt work
Apologies for the mistake once again. If we rotate the rectangle in Quadrant III 90 degrees clockwise about the origin, it would be congruent to the rectangle in Quadrant I if we also perform a reflection across the y-axis.
quadrant 1 is (3,4) and (5,4) and (3,8) and , (5,8)
quadrant 2 is (-6,1) and (-4,1) and (-4,5) and (-6,5)
quadrant 3 is (-5,-4) and (-1,-4) and (-5,-6) and (-6,-1)
quadrant 4 is empty
Apologies for assuming that there was a rectangle in Quadrant III. Since Quadrant III does not contain a rectangle in the given coordinate system, we cannot determine its congruence to the rectangle in Quadrant I.
quadrant 1,2,3 are rectangles and 4 doesnt have one
Apologies for the misunderstanding. If Quadrant I, Quadrant II, and Quadrant III all contain rectangles, we can determine their congruence by rotating the rectangle in Quadrant III 90 degrees clockwise about the origin and translating it.
To translate the rectangle in Quadrant III to Quadrant I, we can simply take the negative of the x-coordinate and the negative of the y-coordinate for each vertex.
For example, if the vertices of the rectangle in Quadrant III are (-5, -4), (-1, -4), (-5, -6), and (-6, -1), the corresponding vertices of the congruent rectangle in Quadrant I would be (5, 4), (1, 4), (5, 6), and (6, 1).