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Reflecting over a point that is not the origin again use slope 1 POINT SYMMETRY Take the center point as the point of reflection and reflect every point on the figure through that point. You must get the same figure back (on top of itself) ***if you turn it upside down it looks the exact same Ex of shapes with Point Symmetry Z N S SWIMS Ex of shapes withOUT Point Symmetry F G J 2 6.5 Translations ‐ each point slides/shifts the same number in the same direction Symbol: T Ex) Ta,b(x, y) = (x+a, y+b) *The number you add to x is the horizontal movement, negative means left and positive means right. (you are adding a to x and b to y if they are positive numbers, you are subtracting if they are negative) *The number you add to y is the vertical movement, positive is up and negative is down. ***The Properties of a Translation are the same properties as Line Reflection and Point Reflection*** 3 **You must always label the axes and use a ruler! 4 Translational symmetry: All of the figures move in the same direction and the same distance from the one before it Ex: NOT translational Symmetry: (not the same distance apart) 5 Homework: pg 232 #15, 16 AND pg 236‐237 #3, 11 STUDY FOR YOUR QUIZ TOMORROW!!! 6 6.8Dilations Dilations: to enlarge or reduce Symbol: Dk(x,y) = (kx,ky) (you are multiplying the x & y by a number) Example: D 4(6,2) = (24, 8) D1/2(10,2) = ***The Properties of a Translation are the same properties as Line Reflection and Point Reflection EXCEPT....DISTANCE does not stay the same*** 7