TRANSFORMATIONS ON THE CARTESIAN PLANE GRAPHING TRANSLATIONS REFLECTIONS

TRANSFORMATIONS ON THE CARTESIAN PLANE - GRAPHING - TRANSLATIONS - REFLECTIONS - ROTATIONS

CARTESIAN PLANE MAKES UP A SYSTEM FOR IDENTIFYING DISTANCE 1. RIGHT or LEFT (HORIZANTAL) = x 2. UP or DOWN (VERTICAL) = y � WHERE THE DISTANCE OF EACH COORDINATE IS LOCATED IS CALLED A POINT ( x , y ) or AN ORDERED PAIR OF COORDINATES QUADRANT � QUADRANTS: � X – coordinate Y - coordinate 1 st + positive 2 nd - negative + positive 3 rd - negative 4 th + positive - negative

CARTESIAN PLANE cont’d � ORDERED PAIR COORDINATES POINTS X – COORDINATE Y - COORDINATE ( 5, -2 ) HORIZONTAL VERTICAL

GRAPHING PLOT THE FOLLOWING ORDERED PAIRS ON A CARTESIAN PLANE and CONNECT THE POINTS (-7, -1), (-3, -4), (-4, -5), (0, -4), (0, -8), (0, -4) (4, -5), (3, -4), (7, -1), (6, 0), (6, 2), (5, 2), (4, 3) (2, 1), (3, 5), (1, 4), (0, 7), (-1, 4), (-3, 5), (-2, 1) (-4, 3), (-5, 2), (-6, 0), (-7, 0) � IDENTIFY THE DRAWING �

GRAPHING cont’d

TRANSLATIONS "Translation" simply means Moving. - without rotating, resizing or anything else, just moving. Every point of the shape must move: • the same distance • in the same direction.

REFLECTIONS Every point is the same distance from the central line ! � The reflection has the same size as the original image � The central line is called the Mirror Line � Mirror Lines can be in any Direction: - Vertical A reflection is a flip over a line - horizontal - Diagonal �

ROTATIONS The distance from the center to any point on the shape stays the same. � Every point makes a circle around the center. � Here a triangle is rotated around the point marked with a "+"