[b][u]Explore[/u][/b][br]You can change the shape of the triangle by dragging points A,B, and C.[br]You can change the scale of the triangle by clicking the slider on the left of the y-axis. [br]Drag the X to change the origin of dilation.[br][br]1) What do you notice when you change the scale of the dilation? What happens to the dilated triangle [br](red triangle A'B'C')?[br][br]2) What do you notice when you move the origin of dilation?[br]a) Describe what happens to the dilated triangle (red triangle A'B'C') when the origin is outside the original (blue triangle).[br]b) Describe what happens to the dilated triangle (red triangle A'B'C')? when the origin is inside the original (blue triangle).  [br]c) Describe what happens to the dilated triangle (red triangle A'B'C')? when the origin is on a vertex of the  original (blue triangle).[br][br][b][u]Task[br][/u][/b]Step 1 - Create a right triangle and dilate it using a scale of two. [br]Step 2 - Place the origin of the dilation at (0,0). [br]Step 3 - Record the dimensions and calculate the area of both triangles. [br][br]b) There is a secret relationship between the scale, the area, and the dimensions. Can you figure it out?[br][br][b][u]Reflect[br][/u][/b]When you transform a triangle by dilation, what happens to the triangle? Explain in your own words.[br]