Answer :
A triangle with coordinates (1,1) (4,2) (3,5) is translated three units down and five units to the left. New coordinates will be (-4,-2), (-1,-1),(-2, 2).
Define translation.
A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given
A triangle with coordinates (1,1) (4,2) (3,5)
The value of a coordinate is impacted by translations left or right but not by translations up or down or left or right.
We multiply all of the numbers by 3 since we are translating the entire triangle down three units.
Additionally, we are converting the entire triangle to left-to-right units of five, thus we will multiply all values by 5.
A = (1 - 5, 1 - 3)
B = (4 - 5, 2 -3)
C = (3 - 5, 5 - 3)
New coordinates will be:
A = (-4,-2)
B = (-1,-1)
C = (-2, 2)
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