Examples for

# Common Core Math: High School Geometry: Similarity & Trigonometry

High school students work with triangles in the contexts of similarity and trigonometry. Students learn to determine when two triangles are similar and to justify their answer using theorems about similar triangles. For right triangles, students compute the trigonometric ratios sine, cosine and tangent and use their values to explore relationships between the angles and sides of triangles. Students extend their knowledge of trigonometric ratios to include the laws of sines and cosines, allowing them to solve for missing measurements in all types of triangles.

### Common Core Standards

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### Trigonometry

Compute and work with trigonometric ratios.

#### Define and compute trigonometric ratios for right triangles (CCSS.Math.Content.HSG-SRT.C.6):

#### Explore relationships between complementary angles (CCSS.Math.Content.HSG-SRT.C.7):

#### Solve for unknown measurements in right triangles (CCSS.Math.Content.HSG-SRT.C.8):

#### Compute the area of any triangle (CCSS.Math.Content.HSG-SRT.D.9):

#### Apply the laws of sines and cosines (CCSS.Math.Content.HSG-SRT.D.11):

### Similarity

Define and recognize geometrically similar figures.