Preston says the sequence of transformations that map triangle ABC onto triangle DEF is:rotate it 180 degrees about the origin, and the translate 7 units. Chanel says the sequence of transformations that map triangle ABC onto triangle DEF is reflect it across the X axis then reflected across the Y axis and then translated up six units and left one unit.
Part A- First take a look at Preston sequence how does a 180° rotation about the origin change the coordinates of a shape?
Part B-complete the table to find a role for the rotation the coordinates of triangle ABC and the coordinates of the rotated image triangle ABC.
Original Coordinates. New coordinates
Part C-how does a translation seven units up change the coordinates of a shape?
Part D-complete the table to find the rule for the translation the coordinates of triangle ABC and the coordinates of translated image triangle ABC
Part E-now look at Chanel sequence how does a reflection across the X axis change the coordinates of a shape?
Part F-complete the table to find the rule for the reflection the coordinates of triangle ABC and the coordinates of the reflective triangle ABC
Part G-how does a reflection across the Y axis change the coordinates of a shape?
Part H- complete the table to find the rule for reflection the coordinates of triangle ABC and the coordinates of a reflective triangle ABC
Part I- how does a translation six units up in one unit left change the coordinates of a shape?
Part J- Complete the table to find the rule for translation the coordinates of triangle ABC in the coordinates of the translated image triangle ABC
Part K- Who is sequence prove triangle ABC is congruent to triangle DEF and why?