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Milestone Review Big Ideas Note Cards
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Translation - Common name: Slide
(horizontally or vertically or both) Rule: Add each point in the figure to a given point Reflections - Common name: Flip (over the x-axis or y-axis) Rules: *To reflect a point over the x-axis, keep the original x-coordinate and multiply the y-coordinate by -1. (negate the y) Example: A (4, -3) A’ (4, 3) *To reflect a point over the y-axis, keep the original y-coordinate and multiply the x-coordinate by -1. (negate the x) Example: A (4, -3) A’ (-4, -3)
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A figure can be enlarged or reduced through dilation.
Rotation - Common name: Turn Rules for rotating about the origin: (x, y) (-x, -y) ˚ clockwise or counter-clockwise (x,y) (y, -x) ˚ clockwise 270˚ counter-clockwise (x, y) (-y, x) ˚ counter-clockwise 270˚ clockwise Dilation - Common name: Enlarge or Shrink Dilate means “to make wide or larger.” Dilations change the size, but not the shape of a figure. A figure can be enlarged or reduced through dilation. Rule: When using the origin as the center of dilation, we multiply each point in an ordered pair by the scale factor. ***Scale factor greater than 1 = an enlarged figure ***Scale factor less than 1 = a smaller image
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0.1235710… RATIONAL IRRATIONAL Decimals Repeat OR Decimals Terminate
Real Numbers Can be graphed Square Roots Decimals RATIONAL IRRATIONAL Non-Repeating Decimal AND Non-Terminating Decimal Cannot be written as a fraction Decimals Repeat OR Decimals Terminate Can be written as a fraction …
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SQUARE ROOTS OF NON-SQUARE NUMBERS
-√4 -√1 √4 √9 √1 √0 3 -1 -2 1 2 4 5 6 SQUARE ROOTS OF NON-SQUARE NUMBERS (approximations) √2 √5 √18 √39
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