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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.

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### Geometry7.6 Dilation

 Q 1: What is the scale factor of the dilated figure.Answer: Q 2: 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 ________(2, -2)(8, -2)(1, -1) Q 3: Find the coordinates of the vertex B1 where the scale factor k = 2 as shown in the figure:(4, 4)(2, 2)(2, 4) Q 4: 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, -2)(1, -1)(4, 1) Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!