Graph a triangle abc and perform a translation of (x+4, y-3) to create triangle a’b’c.
1. describe the transformation using words. make sure you refer to the characteristics and the coordinates.
2. draw a line through points a and a’ and through points b and b’. what do you notice about the line to drew? do you think you would notice the same characteristics if you threw another line through points c and c’? how do you know?

okay, i will pick points for triangle abc because they are not listed in the problem. i will also find the corresponding points for triangle a'b'c'.

a: (-1,1) < > a': (3,-2)

b: (2,2) < > b': (6,-1)

c: (1,-1) < > c': (5,-4)

1. the transformation is a translation where the triangle is shifted 4 units to the right and 3 units down. thus, each coordinate is shifted 4 units to the right and 3 units down.

2. if you draw the lines, you will see that they have the same slopes. this is because the change in y over the change in x is the same for each coordinate. if you drew another line through c and c' you will see a line with the same slopes as the other two lines. this line will also have a different y-intercept when compared to the other two lines.

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step-by-step explanation: