Coordinate Geometry

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24 Terms

1
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translation

(x + h, y + k)

2
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reflection across x axis

(x, -y)

3
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90 degree clockwise rotation

(y, -x)

4
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reflection across y axis

(-x, y)

5
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reflection across y axis

(-x, y)

6
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180 degree rotation

(-x, -y)

7
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reflection across y=x

(y, x)

8
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90 degree counterclockwise rotation

(-y, x)

9
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reflection across line y= -x

(-y, -x)

10
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slope formula

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

11
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lines that are parallel have the ____ slope

same

12
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perpendicular lines have slopes that are ____ of one another

negative reciprocals

13
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midpoint formula

(x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

14
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distance formula

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

15
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centroid formula

knowt flashcard image
16
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point slope form

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17
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slope intercept form

Slope-Intercept Form of a Straight Line (y = mx + b) | ChiliMath

18
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circle formula

( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius

19
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coincide

the same / on top of eachother

20
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transformation def

a manipulation of a geometric shape

21
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rotation def

when an object is turned around a fixed point

22
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reflection def

flips an object over a specific line, creating a mirror image

23
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translation def

moves every point of an object a certain distance and direction

24
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dilation def

resizing or reshaping an object