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# MTTC - Elementary Ed

### Geometry Concepts

Question | Answer |
---|---|

closed, 2-d shapes with at least 3 straight-sides and 3 angles | polygons |

polygons that are equilateral and equiangular | regular polygons |

polygons that are the same size and shape | congruent shapes |

_________ and ______________ measure the distance around a polygon and circle | perimeter; circumference |

equation to find the perimeter of a square | P=4s |

equation to find the perimeter of a rectangle | P=2(l+w) |

equation to find the perimeter of a triangle | P=s1+s2+s3 |

equation to find the perimeter of a polygon | P=adding number of sides together |

amount of space an object takes up | volume |

volume of a cube | V=s^3 |

volume of a rectangular prism | V=lwh |

volume of a cylinder | V=pi r^2 x h |

volume of a sphere | V= 4/3pi r^3 |

volume of a pyramid | V= 1/3Ah A=area of base |

volume of a cone | V=1/3pi^2 x h |

amount of space inside a 2-d shape | area |

involves counting the number of squares *inside* the shape the squares come from the units on the x and y axis; square=1sq. unit on grid it's not suitable for calculating all areas | counting method |

measures the area *outside* of a 3-d shape | surface area |

surface area for a sphere | SA=4pi r^2 |

surface area for a cone | SA= pi r^2+pi rs |

surface area for a cube | SA=6s^2 |

surface area for a cylinder | SA=2pi rh+2pi r^2 |

surface area for rectangular prism | SA=2(lw+wh+hl) |

surface area for a square-based pyramid | SA=2(l)(s)+l^2 |

an approach to measuring things using alternative measurements and properties to find desired measurement | indirect measurement |

a^2+b^2=c^2 | pythagorean theorem |

a straight bar that keeps going in both directions | line |

when a line has a beginning and end | line segment |

when a line has a beginning, but no end | ray |

xy plane ordered pairs (x,y); the point where it crosses is called x and y intercept | Cartesian plane |

the 4 divisions of the Cartesian plane starting with the top right and moving counterclockwise | quadrants |

French philosopher and mathematician that said "I think, therefore I am" | Rene Descartes |

same shape, different size | similar shapes |

a category of transformation that does not change the shape/size of the pre-image | rigid tranformation |

a category of transformation that changes the size but not the shape | non-rigid transformation |

rotating an object about a fixed point without changing its size/shape | rotation |

moving an object in space without changing its size, shape, or orientation | translation |

expanding/contracting an object without changing shape or orientation | dilation |

flipping an object across a line without changing size/shape | reflection |

imaginary line that cuts a shape into 2 exact / identical halves | line of symmetry |

reflection of the image the halves obtained by drawing the line of symmetry reflect each other | reflection symmetry |

exists around center of axis | rotational symmetry |

the change in position | translation symmetry |

the sum of 2 symmetries (reflection and translation) | glide symmetry |