8.2 Dilations, Similarity, and Introducing Slope
- I can decide if one rectangle is a dilation of another rectangle.
- I know how to use a center and a scale factor to describe a dilation.
- I can apply dilations to figures on a circular grid when the center of dilation is the center of the grid.
- I can apply a dilation to a polygon using a ruler.
- I can apply dilations to figures on a square grid.
- If I know the angle measures and side lengths of a polygon, I know the angles measures and side lengths of the polygon if I apply a dilation with a certain scale factor.
- I can apply dilations to polygons on a rectangular grid if I know the coordinates of the vertices and of the center of dilation.
- I can apply a sequence of transformations to one figure to get a similar figure.
- I can use a sequence of transformations to explain why two figures are similar.
- I can use angle measures and side lengths to conclude that two polygons are not similar.
- I know the relationship between angle measures and side lengths in similar polygons.
- I know how to decide if two triangles are similar just by looking at their angle measures.
- I can decide if two triangles are similar by looking at quotients of lengths of corresponding sides.
- I can find missing side lengths in a pair of similar triangles using quotients of side lengths.
- I can draw a line on a grid with a given slope.
- I can find the slope of a line on a grid.
- I can decide whether a point is on a line by finding quotients of horizontal and vertical distances.
- I can find an equation for a line and use that to decide which points are on that line.
- I can model a real-world context with similar triangles to find the height of an unknown object.