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Complementary Angles add up to |
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Supplementary Angles add up to: |
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Translation means the figure _____________ |
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Definition
slides
moves left or right/up or down
Ex: (x, y) --> (x +1, y + 2)
Means over positive 1, up two
[image]
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Reflection means _________ |
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Definition
Flip
*Images may reflect over the x-axis or y-axis
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Rule for Reflection over X-Axis |
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Rule for Reflection over y-axis:
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Rotation of 180 Degrees clockwise or counter clockwise |
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Describe the translation
(x, y) --> (x - 2, y +3) |
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Describe the translation:
(x, y) ---> (x, y + 5) |
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Definition
When the angles are cross from each other, and equal. |
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Which transformation give congruent figures from pre image to transformed image? |
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Definition
-translation
-reflection
-rotation |
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Which transformation gives a similar figure? |
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Definition
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Definition
When the angles are in the same position.
They are equal.
[image] |
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Definition
Lines in the same plane that never intersect or cross. |
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The sum of the interior angles of a triangle add up to: |
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What makes two triangles similar? |
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Definition
SSS: all sides are proprtional
SAS: Two sides are proportional and an angle is equal
AAS: Two angles are equal |
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A figure is dilated by a scale factor of 3. How do you find the coordinates? |
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Definition
Multiply each x and y by 3.
(3x, 3y) |
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Definition
All sides and all angles are equal
(EXACT SAME SHAPE) |
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Term
Need Help on Exponent Rules?? |
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Definition
Go to this website:
http://www.onlinemathlearning.com/rules-of-exponents.html |
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Multiplication Rule: To multiply powers with the same base: |
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Definition
keep the base the same and add the exponents. [image] |
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Division Rule: To divide powers with the same base |
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Definition
keep the base the same and subtract the exponents.
[image] |
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Power Rule: When a power is being raised to another power
*you see parentheses |
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Definition
keep the base the same and multiply the exponents.
[image] |
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Zero Power:
Anything raised to the power of 0 equals |
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Definition
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Negative Exponents:
You can rewrite these as a |
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Definition
Fraction with positive exponent
5-4 = 1/54
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What is an irrational number? |
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Definition
-A number that can not be written as a fraction
Popular examples:
pi, non repeating decimals, and square roots of imperfect numbers |
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Definition
*fractions
*whole numbers
*decimals
*mixed numbers
*square roots of perfect squares
*cube roots of perfect cubes
*REPEATING DECIMALS |
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How do we estimate a square root? |
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Definition
1). Find the lower and higher perfect square
2). take the square root of each
3). find out which perfect square it is closer to |
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Steps to multiplying scientific notation numbers: |
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Definition
1). Multiply the coefficients
2). add the exponents
3). make sure final answer is in correct scientific notation form
[image] |
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Steps to dividing numbers in scientific notation: |
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Definition
1). Divide the coefficients
2). subtract the exponents
3). make sure the number is in correct scientific notation form
[image] |
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How to compare numbers in scientific notation:
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Definition
1). Make sure exponents are the same
2). divide the coefficients
3). make sure final number is in correct scientific notation
*Check your notebook for examples. We did a lot :) |
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How to add scientific notation numbers |
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Definition
1). Make sure exponents are the same
2). add coefficient numbers. Keep exponents the same as fixed in step 1.
3). make sure your final answer is in correct scientific notation form |
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How to subtract in scientific notation form |
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Definition
1). Make sure that exponents are the same
2). subtract coefficient numbers and keep the exponent the same as fixed in step 1.
3). make sure final answer is in correct scientific notation form
*Check notebook for examples. We did a lot :) |
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Pythagorean Theorem states: |
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Definition
When c is the hypotenuse:[image] |
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Definition
C
Longest side of right triangle
Across from right angle |
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Converse of the Pythagorean Theorem |
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Definition
In order for the triangle to be Right:
A^2 + B^2 must equal C^2.
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Radius is always ___________ the diameter |
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Definition
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Diameter is always____________ the radius. |
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Definition
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Steps to solving equations with variables on both sides |
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Definition
1). Draw balance line
2). Move variables to one side.
3) move constant solo numbers to one side
4) solve one step equation |
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