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# 6.4 Coodinate Plane

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

coordinate plane | A plane formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis |

x- axis | the horizontal axis on a coordinate plane that displays the first umber of an ordered set |

y-axis | the vertical axis on a coordinate plane |

origin | (0,0) Intersection of the x and y axes. Center of the coordinate plane. |

ordered pair | A pair of numbers used to locate a point on a graph (x,y) |

reflection | A transformation of a point/ figure that flips the point/figure across the x or y axes. |

Quadrant I | (+,+) |

Quadrant II | (-,+) |

Quadrant III | (-,-) |

Quadrant IV | (+,-) |

Reflection over x-axis | x coordinate stays the same and change the y coordinate to its opposite. |

opposites | 2 numbers who have the same absolute value but are on opposites sides of zero on the number line. |

Reflection over y-axis | y coordinate stays the same and change the x coordinate to its opposite. |

quadrant | one of four sections into which the coordinate plane is divided |

unit distance | when you count the LINES between 2 points. |

distance given two points (in the same quadrant- same sign) | Ignore the coordinates that are the same. Subtract the coordinates that are different. |

Ex. Distance between ( 1 , 8 ) and ( 1 , 4) | The ones are the same, so we are looking at the 8 and 4. Because they are both the same sign, we subtract. 8-4 = 4 units apart |

Absolute value | The distance a number is from zero on a number line. ALWAYS POSITIVE |

Find the distance between two points (in different quadrants- different signs) | Ignore the coordinates that are the same. Add (the absolute value) of the coordinates that are different. |

Ex. Distance between ( 1 , -8 ) and ( 1 , 4) | The ones are the same, so we are looking at the -8 and 4. Because they have different signs, we take the absolute value (positive) of each number and add. 8+4 = 12 units apart |

Perimeter of a rectangle | Add all the sides On a graph count the SIDES |

Area of a rectangle | A=lw or bh On a graph count the BOXES |

distance given a graph | when you count the LINES between 2 points. |

integer | a number that can be written without a fraction or decimal. a whole number, can be positive or negative. |

Square | A quadrilateral with 4 sides that are equal and has all 90 degree angles |

Area of a composite figure | find area of the simple shapes and add them together On a graph count the BOXES |

Perimeter of a composite figure | Add all the sides On a graph, count the SIDES |

Area of a triangle | A=1/2bh The height must make a right angle with the base |