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# Mathematics

### Information about Mathematical Equations, Geometry Etc.

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

How many diagonals does a rectangle have? | 2. |

What are they? | Congruent. |

What does one diagonal do to another | bisects the other. |

Each diagonal divides the rectangle into how many right tringles? | 2 congruent right triangles. |

Because triangles are congruent they have what? | Same area and each triangle is half of the area of a rectangle. |

What is the diagonal of a rectangle? | The diagonal of a rectangle is the hypotenuse of a triangle (mostly a right triangle). |

What is mainly found using the Pythagorean/Pythagorus Theorem? | The Hypotenuse. |

When are 2 shapes similar? | They are similar if there is only once difference, size. |

why is it useful? | It is useful because corresponding angles are equal. Lines are in proportion |

What is a ratio? | a comparison of two numbers or two like quantities by division |

what is a proportion? | an equation which states that 2 ratios are equivalent |

What is a ratio usually written as? | A fraction in simpest form |

Does a ratio have to be a proper fraction? | No |

Is it ever written as a mixed number | Never would it be written as a mixed number |

How do you write a ratio in simplest form? | You would divide both the numerator and the denominator by the GCF. |

What is a rate? | A ratio that uses different units. |

Does order matter when it comes to ratios? | Absolutely |

Is it important to keep the unit of measure throughout the computation? | Yes |

What is a unit rate? | a rate that is simplified so that it has a denominator of 1 |

unit rates can be used to do what? | Unit rates can be used to comparison shop |

Is there only one way to find unit rates? | No |

What are two ways? | Simplify the fraction until the denominator is one Another way is to divide the cost by the quantity |

What is a better bargain when comparing unit rate? | The lower priced item |

What do most mathematicians prefer when it comes to proportions | fraction form |

Is proportional reasoning useful? | yes |

Where would you find it useful | cooking for a larger group than usual, a chef will use proportional reasoning to double or triple a recipe architects use proportional reasoning to create models and scale drawings |

what is the concept in proportional reasoning | equivalent fractions |

How do you check equivalent fractions? | cross multiplication and it helps us to find the missing peace of the proportion |

What do you do while solving proportions | you use knowledge of cross-products being equal |

When are 2 figures similar? | When there is only a difference in size and rotation or flip or mirror |

The properties of similar triangles are used when? | the properties of similar triangles are often used for indirect measurement. |

When would you use indirect measurement? | If you cannot measure the height of an object because it sit too tall or far away, you can use indirect measurement to find the value. |

what is the concept used in similar figures? | proportions |

15x | 15= co-efficient x= variable |

Is a scale drawing a proportionally correct drawing? | yes |

What are examples used in scale drawing? | maps, blueprints, photos and models |

What does the scale give a relationship between? | measurements on the drawing or model and the measurements on the real object |

what is the formula used in scale drawing? | Scale= measurements of model: measurement of real object |

When it comes to word problems what is useful? | writing down the units |

what is an integer? | The set of who le numbers and their opposites is called a set of integers. |

What do we use to compare integers | a number line |

What does a st of rational numbers consist of? | all numbers that could or can be expressed in the from a/b where a and b are integers and b is not equal to 0 |

can rational numbers be written in different forms? | yes they can be written in different forms |

how can they be represented? | they can be represented as a fraction, decimal or percentage. |

What are irrational numbers? | Irrational numbers are numbers that cannot be written in the from of a/b where a is any integer and b is any nonzero integer |

What are irrational and rational numbers combined? | Real numbers |

What is scientific notation? | Scientific notation is a simple way to write very large or very small numbers. |

can numbers in scientific notation have negative integers? | yes |

Created by:
iluvaction