Information about Mathematical Equations, Geometry Etc.
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each of the black spaces below before clicking
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| How many diagonals does a rectangle have? | 2.
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| What are they? | Congruent.
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| What does one diagonal do to another | bisects the other.
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| Each diagonal divides the rectangle into how many right tringles? | 2 congruent right triangles.
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| Because triangles are congruent they have what? | Same area and each triangle is half of the area of a rectangle.
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| What is the diagonal of a rectangle? | The diagonal of a rectangle is the hypotenuse of a triangle (mostly a right triangle).
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| What is mainly found using the Pythagorean/Pythagorus Theorem? | The Hypotenuse.
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| When are 2 shapes similar? | They are similar if there is only once difference, size.
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| why is it useful? | It is useful because corresponding angles are equal.
Lines are in proportion
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| What is a ratio? | a comparison of two numbers or two like quantities by division
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| what is a proportion? | an equation which states that 2 ratios are equivalent
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| What is a ratio usually written as? | A fraction in simpest form
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| Does a ratio have to be a proper fraction? | No
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| Is it ever written as a mixed number | Never would it be written as a mixed number
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| How do you write a ratio in simplest form? | You would divide both the numerator and the denominator by the GCF.
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| What is a rate? | A ratio that uses different units.
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| Does order matter when it comes to ratios? | Absolutely
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| Is it important to keep the unit of measure throughout the computation? | Yes
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| What is a unit rate? | a rate that is simplified so that it has a denominator of 1
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| unit rates can be used to do what? | Unit rates can be used to comparison shop
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| Is there only one way to find unit rates? | No
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| What are two ways? | Simplify the fraction until the denominator is one
Another way is to divide the cost by the quantity
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| What is a better bargain when comparing unit rate? | The lower priced item
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| What do most mathematicians prefer when it comes to proportions | fraction form
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| Is proportional reasoning useful? | yes
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| 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
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| what is the concept in proportional reasoning | equivalent fractions
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| How do you check equivalent fractions? | cross multiplication and it helps us to find the missing peace of the proportion
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| What do you do while solving proportions | you use knowledge of cross-products being equal
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| When are 2 figures similar? | When there is only a difference in size and rotation or flip or mirror
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| The properties of similar triangles are used when? | the properties of similar triangles are often used for indirect measurement.
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| 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.
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| what is the concept used in similar figures? | proportions
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| 15x | 15= co-efficient
x= variable
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| Is a scale drawing a proportionally correct drawing? | yes
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| What are examples used in scale drawing? | maps, blueprints, photos and models
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| What does the scale give a relationship between? | measurements on the drawing or model and the measurements on the real object
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| what is the formula used in scale drawing? | Scale= measurements of model: measurement of real object
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| When it comes to word problems what is useful? | writing down the units
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| what is an integer? | The set of who le numbers and their opposites is called a set of integers.
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| What do we use to compare integers | a number line
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| 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
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| can rational numbers be written in different forms? | yes they can be written in different forms
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| how can they be represented? | they can be represented as a fraction, decimal or percentage.
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| 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
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| What are irrational and rational numbers combined? | Real numbers
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| What is scientific notation? | Scientific notation is a simple way to write very large or very small numbers.
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| can numbers in scientific notation have negative integers? | yes
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