Question 1172518: Please help me, I'm trying to improve myself in Geometry but I am really struggling.
Graph a triangle ABC and perform a translation of (x + 4, y − 3) to create triangle A′B′C′.
Describe the transformation using words. Make sure you refer to the characteristics and the coordinates.
Draw a line through points A and A′ and through points B and B′. What do you notice about the lines you drew? Do you think you would notice the same characteristics if you drew another line through points C and C′? How do you know?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Try drawing the triangle with a vertex at (0, 0), another at (0, 4), and the last at (5, 0).
Transform by changing the coordinates (x+4, y-3)
so the (0, 0) one becomes (4, -3), the one at (0, 4) becomes (4, 1), and the last becomes (9, -3)
The triangles are similar and congruent. The second is shifted to the right 4 units and down 3 units compared to the first.
The lines you draw have the same length and are parallel to each other. The slope of the lines is -3/4, the change in y/change in x.
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