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All Transformations on this test will be Rotations What is a rotation? ROTATIONS a bend a skip a jump a turn All of the rotations in this test are around the origin A counterclockwise rotation is to the left--positive A clockwise rotation is to the right.--negative origin-- point where x & y axis cross Which way is clockwise? right left Find the slope from pivot point to pre-image point slope is ∆y Rotations occur around a point. ∆x PARALLEL LINES have the same slope Remember some things about slope. The line y= ½x + 4 the line y = ½x + 7 is parallel to is the symbol for parallel Perpendicular lines meet at a 90o angle perpendicular ? Which symbol means parallel? is the symbol for perpendicular parallel ? remember perpendicular slope is opposite reciprocal this is all about slope and quadrants!!!! 90o and 270o are the same linedifferent direction 0o and 180o are on the same line different direction will you be on the same line or a perpendicular line Now you will a. find the slope of the pre-image b. find the slope of the image think about direction and what quadrant you will end up in 2 THINK DIRECTION-SIGNS 3 A' A 1 4 what slope will rotate you 90 to quad 2 fromthe origin? m=2/3 2 3 THINK DIRECTION-SIGNS A' A 1 4 what slope will rotate you 180 to quad 3 fromthe origin? m=2/3 2 3 THINK DIRECTION-SIGNS A A' 1 4 what slope will rotate you 270 to quad 4 fromthe origin? m=2/3 if slope = 3/4and you are in Quad 1 then: rotation 90 --> Q2---> m= rotation 180--> Q3---> m= rotation 270--> Q4---> m= will you be on the same line or a perpendicular line Now you will a. find the slope of the pre-image b. find the slope of the image think about direction and what quadrant you will end up in 2 -2 4 -4 2 -2 4 -4 6 -6 slope after a 270 degree turn slope= P M' M 2 -2 4 -4 2 -2 4 -4 6 -6 slope after a 180 degree turn slope= M' P M will you be on the same line or a perpendicular line Now you will a. find the slope of the pre-image b. find the slope of the image think about direction and what quadrant you will end up in 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 slope after a 90 rotation D m= 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 slope after180 rotation m= D 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 D slope after 270o rotation m= 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 D slope after -90 rotation m= 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 m= slope after 180 rotation D 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 slope after 180 rotation m= D 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 D slope after -90 rotation m= 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 D slope after-270 rotation m= 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 slope after 180 rotation m= D 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 slope after90 rotation m= D 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 slope after270 rotation m= D 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 slope after360 rotation m= D 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 slope after-180 rotation m= D |