# 8.2 Dilations, Similarity, and Introducing Slope

### Lesson 1

• 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.

### Lesson 2

• I can apply dilations to figures on a circular grid when the center of dilation is the center of the grid.

### Lesson 3

• I can apply a dilation to a polygon using a ruler.

### Lesson 4

• 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.

### Lesson 5

• I can apply dilations to polygons on a rectangular grid if I know the coordinates of the vertices and of the center of dilation.

### Lesson 6

• 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.

### Lesson 7

• 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.

### Lesson 8

• I know how to decide if two triangles are similar just by looking at their angle measures.

### Lesson 9

• 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.

### Lesson 10

• I can draw a line on a grid with a given slope.
• I can find the slope of a line on a grid.

### Lesson 11

• I can decide whether a point is on a line by finding quotients of horizontal and vertical distances.

### Lesson 12

• I can find an equation for a line and use that to decide which points are on that line.

### Lesson 13

• I can model a real-world context with similar triangles to find the height of an unknown object.