Draw a dilation of the figure using the given scale fact (15) k=2

To draw a dilation of the triangle ABC with a scale factor of , we will follow these steps:Step 1: Identify the center of dilation.Since no center of dilation is specified, we will assume the origin (0,0) as the center of dilation.Step 2: Multiply the coordinates of each vertex by the scale factor.The scale factor given is . We will multiply the x and y coordinates of each vertex by 2.For vertex A(2,1):Dilated A' = (2 * 2, 1 * 2) = (4, 2)For vertex B(2,-1):Dilated B' = (2 * 2, -1 * 2) = (4, -2)For vertex C(-2,-1):Dilated C' = (-2 * 2, -1 * 2) = (-4, -2)Step 3: Plot the dilated vertices on the Cartesian coordinate system.Plot the points A'(4,2), B'(4,-2), and C'(-4,-2) on the Cartesian coordinate system.Step 4: Connect the vertices to form the dilated triangle.Draw lines connecting the dilated vertices A', B', and C' to form the dilated triangle A'B'C'.Answer:The coordinates of the vertices of the dilated triangle A'B'C' are A'(4,2), B'(4,-2), and C'(-4,-2).