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?

1) The transformation of triangle ABC to A'B'C' using the translation (x + 4, y - 3)  involves the rigid transformation of the image of the triangle ABC by creating an image of triangle ABC with the same dimensions, 4 units to the right and 3 units down of the pre-image which is ABC

2) The lines drawn through points A and A' and B and B' are parallel

3) Yes,

4) This is so because the lines drawn connecting the vertices of the image and the preimage represent the path lines that describe the translation (rigid transformation) and would therefore be parallel to one another

Explanation: