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# MMA Unit 8 Vocab

### Architecture and Spatial Reasoning

Term | Definition |
---|---|

Congruent Figures | Two figures that are the same shape and same size. Corresponding sides and angles are equal. |

Similar Figures | Two figures that are the same shape but not necessarily the same size. Corresponding angles are equal, and the sides are proportional. |

Proportion | The relative sizes of two or more values; written as a fraction or with a colon between the values. |

Scale Factor | The ratio of the length of a side of one figure to the length of the corresponding side of the other figure. |

1 Dimensional | A figure that has only length and no width. It is only measured in one direction. |

Distance | How far apart two objects are. |

2 Dimensional | An object or figure which has length and width but no height. It is measured in 2 directions. |

Area | The space occupied by a flat shape; measured in square units |

3 Dimensional | An object or figure which has length and width and height. It is measured in 3 directions. |

Volume | The amount of space taken up by an object; measured in cubic units. |

Surface Area | The sum of the areas of all the surfaces of a 3D figure. |

Pythagorean Theorem | a^2+b^2=c^2 - the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. |

Hypotenuse | In a right triangle, the side that is across from or not touching the right angle. Also, the longest side. |

Leg | In a right triangle, one of the two sides touching the right angle. |

Right Triangle | A triangle with one 90° angle. |

Special Right Triangles | A triangle with 30°-60°-90° angles or with 45°-45°-90° angles. |

Distance Formula | d=√[(x2-x1)^2+(y2-y1)^2 ] |

Trigonometry | A branch of mathematics that studies relationships between side lengths and angles of right triangles. |

Opposite | In English, on the other side. In a right triangle, the leg that is not touching or is across from the angle. |

Adjacent | In English, next to. In a right triangle, the leg that is touching or is next to the angle. |

Theta (θ) | Greek letter used as a variable for unknown degree of an angle. |

SOHCAHTOA | An acronym that helps you remember the trig formulas. |

Sine (θ) | opposite/hypotenuse |

Cosine (θ) | adjacent/hypotenuse |

Tangent (θ) | opposite/adjacent |

Inverse | An operation that undoes another one. |