### Grades / Levels

### Standards

Code | Grade | Cluster | Standard | Object Count |
---|---|---|---|---|

G-SRT.1 | High School - Geometry | Understand similarity in terms of similarity transformations | Verify experimentally the properties of dilations given by a center and a scale factor: •A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged. •The dilation of a line segment is longer or shorter in the ratio given by the scale factor. | 0 |

G-SRT.2 | High School - Geometry | Understand similarity in terms of similarity transformations | Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. | 0 |

G-SRT.3 | High School - Geometry | Understand similarity in terms of similarity transformations | Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. | 0 |

G-SRT.4 | High School - Geometry | Prove theorems involving similarity | Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. | 0 |

G-SRT.5 | High School - Geometry | Prove theorems involving similarity | Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. | 0 |

G-SRT.6 | High School - Geometry | Define trigonometric ratios and solve problems involving right triangles | Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. | 0 |

G-SRT.7 | High School - Geometry | Define trigonometric ratios and solve problems involving right triangles | Explain and use the relationship between the sine and cosine of complementary angles. | 0 |

G-SRT.8 | High School - Geometry | Define trigonometric ratios and solve problems involving right triangles | Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. | 0 |

G-SRT.9 | High School - Geometry | Apply trigonometry to general triangles | (+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side. | 0 |

G-SRT.10 | High School - Geometry | Apply trigonometry to general triangles | (+) Prove the Laws of Sines and Cosines and use them to solve problems. | 0 |

G-SRT.11 | High School - Geometry | Apply trigonometry to general triangles | (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces). | 0 |