# Geo.3 Similarity

### Lesson 1

• I can dilate a figure given a scale factor and center.

### Lesson 2

• I can calculate the lengths of parts of a scaled drawing.

### Lesson 3

• I know that when figures are dilated by a scale factor of $k$, all lengths in the figure are multiplied by $k$.

### Lesson 4

• I can explain what happens to lines and angles in a dilation.

### Lesson 5

• I can explain why the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half the length of the third side.

### Lesson 6

• I can write similarity statements.
• I know the definition of similarity.

### Lesson 7

• I know the relationships between corresponding sides and angles in similar triangles.

### Lesson 8

• I can critique proofs that use similarity.
• I can write proofs using the definition of similarity.

### Lesson 9

• I can explain why the Angle-Angle Triangle Similarity Theorem works.

### Lesson 10

• I can explain why the Side-Angle-Side and Side-Side-Side Triangle Similarity Theorems work.

### Lesson 11

• I can explain why a segment parallel to one side of a triangle divides the other sides proportionally.

### Lesson 12

• I can find scale factors and use them to solve problems.

### Lesson 13

• I can find similar triangles formed by the altitude to the hypotenuse in a right triangle.

### Lesson 14

• I can prove the Pythagorean Theorem.

### Lesson 15

• I can solve problems involving similar right triangles.

### Lesson 16

• I can solve and interpret problems involving similar right triangles.