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Mr. Nefalar Geometry Period 3&4 Rhombuses, Rectangles, and Squares 5/17/2007 Outcome: Students will be able to create scaled copies of figures using Ratio and Parallel techniques of Dilation. Warm Up (12:13 -12:23) 15 mins. In Geogebra construct a kite and a trapezoid. Kite Trapezoid Yes No Yes No Are opposite angles congruent? Are any angles congruent? Are any angles supplementary? (Add to 180°) Are Diagonals congruent? Are the intersection of Diagonals midpoints? Are the Diagonals perpendicular? Topic 1: Geogebra Investigation of Ratio Dilation Definition Ratio Dilation – uses a focus point next to the shape as a center of dilation and rays from the center of dilation through points on the figure to create scaled copies of the figure. LA’= A’A LE’= E’E LD’= D’D LC’= C’C LB’= B’B Scale ratio: 1:2 Dilate by 2 Standards 2,3,4,5,12,16 In Geogebra construct a triangle… Dialate by 2 Dialate by ½ Dialate by 3 Checkpoint Download the Geogebra file “Ratio Dilation (2x) o Dialate by 2 Download the Geogebra file “Ratio Dilation (.5x) o Dialate by 1/2 Topic 2: Geogebra Investigation of Parallel Dilation Definition Parallel Dilation – uses a point in the middle of the shape as a center of dilatation and rays from the center of dilation through points on the figure to create scaled copies of the figure. EA = AA’ EB = BB’ LC = CC’ LD = DD’ Scale ratio: 1:2 Dilate by 2 In Geogebra construct a triangle… Dilate by 2 Dilate by 1/2 Dilate by 3 Checkpoint Download the Geogebra file “Parallel Dilation (2x) o Dilate by 2 Download the Geogebra file “Parallel Dilation (.5x) o Dilate by 1/2 Exit Exam On a piece of paper draw a triangle and demonstrate any of the dilation techniques only using a straight edge (doesn’t have to be a ruler).