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There are 4 major types of Transformations There are 4 major types of transformations Rotations There are 4 major types of transformations Rotations Reflections There are 4 major types of transformations Rotations Reflections Translations There are 4 major types of transformations Rotations Reflections Translations Dilations How many major types of transformations are there? Today we will learn about Reflections A reflection flips the point over a line Translation Reflection Shifts ? Flips ? A reflection flips the point over a line A reflection flips the point over a line A y axis reflection A reflection flips the point over a line A y axis reflection would flip the point over the y axis A reflection flips the point over a line A y axis reflection would flip the point over the y axis A reflection flips the point over a line A y axis reflection So it is the same distance would flip the point on both sides over the y axis A reflection flips the point over a line 2 A y axis reflection So it is the same distance would flip the point on both sides over the y axis A reflection flips the point over a line 2 A y axis reflection So it is the same distance 2 would flip the point on both sides over the y axis A reflection flips the point over a line An x-axis reflection flips over the x-axis A reflection flips the point over a line An x-axis reflection flips over the x-axis A reflection flips the point over a line So that the point is the An x-axis reflection same distance from the flips over the x-axis x-axis A reflection flips the point over a line 3 So that the point is the An x-axis reflection same distance from the flips over the x-axis x-axis A reflection flips the point over a line 3 3 So that the point is the An x-axis reflection same distance from the flips over the x-axis x-axis Which point is point A reflected across the y-axis? Which point is point A reflected across the x-axis? A C B A reflection across the x axis also changes the sign of the y value A reflection across the x axis also changes the The point (-2, 3) reflected across the x axis would be sign of the y value A reflection across the x axis also changes the The point (-2, 3) reflected across the x axis would be sign of the y value (-2, -3) A reflection across the x axis also changes the The point (-2, 3) reflected across the x axis would be sign of the y value (-2, -3) Notice the sign of the y changes Rule: (x,y) --> (x, -y) A reflection across the y axis changes the sign of the x The point (2,-3) reflected across the y axis would be Rule:(x,y) --> (-x, y) A reflection across the y axis changes the sign of the x The point (2,-3) reflected across the y axis would be (-2, -3) Rule:(x,y) --> (-x, y) A reflection across the y axis changes the sign of the x Notice the change in x The point (2,-3) reflected across the y axis would be (-2, -3) Rule:(x,y) --> (-x, y) Point (-1,4) reflected across the y axis Point (-5,3) reflected across the x axis Point (5,7) reflected across the x axis (5, ( ( ,4) , ) ) A reflection flips the point over a line Here is the line y = x A reflection flips the point over a line Here is the line y = x A reflection flips the point over a line Reflections are always perpendicular to the line of reflection. Here is the line y = x A reflection flips the point over a line Reflections are always perpendicular to the line of reflection. Notice how the coordinates switch: The rule for a reflection over the line y = x is (x,y) --> (y, x) Here is the line y = x A reflection flips the point over a line (-2, 3) (3, -2) Point (2,-7) reflected across the line y=x Point (-8,-12) reflected across the line y=x Point (-5,3) reflected across the line y=x ( , ) ( , ) ( , ) |