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### Geometry7.6 Dilation

 Dilation: A dilation is a transformation that stretches or shrinks a figure to create a similar figure. It is a type of similarity transformation. In a dilation, a figure is enlarged or reduced with respect to a fixed point called center of dilation. The scale factor of a dilation is the ratio of a side length of the image to the corresponding side length of the original figure. You can describe a dilation with respect to the origin with the notation (x,y) ® (kx,ky), where k is the scale factor. If 0 < k < 1, the dilation is a reduction. If k>1, the dilation is an enlargement. Directions: Using graph paper and dilate the following figures using scale factor of 1, 2, 3, 4 and 1/2. Answer the following questions. Also write at least 10 examples of your own.
 Q 1: Find the coordinates of the vertex B1 where the scale factor k = 2 as shown in the figure:(2, 2)(2, 4)(4, 4) Q 2: A triangle has a vertices A(4, -4), B(8, 2) and C(8, -4). Draw the image (Triangle DEF) of the original triangle ABC after a dilation with a scale factor of 1/2. The coordinates of point C of the image are ________.(4, 1)(4, -2)(1, -1) Q 3: Draw a dilation of the polygon with the given vertices: A(0,0), B(0, 3), C(2, 4), D(2, -1) using the scale factor of 13/2. The coordinates of the vertex D of the image is ______. (13, -13/2)(13, 13/2)(-13/2, 13) Q 4: If the scale factor is 2. Draw a dilation of quadrilateral ABCD with vertices A(2, 1), B(4, 1) C(4, -1) and D(1, -1). The vertex of the dilated figure for D1 is ________(8, -2)(1, -1)(2, -2) Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!