Coordinate Geometry Flashcards

1
Q

Points on the axes

A

Are not in any of the quadrants

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2
Q

Every possible line in the x-y plane

A

Has its own unique question

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3
Q

Every point on a line

A

satisfies the equation of the line

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4
Q

Slope

A

rise over run

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5
Q

Slope

A

Slope between ANY two points on a line

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6
Q

Slope could be

A

2k and k; up 2k and right k; keep on adding the slope

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7
Q

Bigger slope number

A

Steeper

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8
Q

Slope of 1/-1

A

45 degree angle with the axis

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9
Q

x and y intercepts

A

plug in 0 for y and x; can get the intercept from any equation

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10
Q

If you have two points

A

then find the base using triangle and then add the ex intercept

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11
Q

if you add rise and run to the existing slope then you can find another point on the line**

A

**

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12
Q

multiply by 5

A

times 10 and then half

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13
Q

If a circle is centered at the origin then

A

each radius has a horizontal leg of abs x and a vertical leg of abs y so rsquared= xsquared+ysquared*

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14
Q

Horizontal and vertical distances in an x y plane

A

Subtraction

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15
Q

For a circle in the x-y plane

A

Each slanted radius is the hypotenuse; sometimes it forms two isosceles triangles

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16
Q

Every point on the pep bisector of a line is

A

Equidistant from the two end points of a line

17
Q

For the line x=y

A

x=y, 45degree with the x axis;above the line y>x;

18
Q

reflection of line x=y

A

signs opp for both

19
Q

every point on x=y is eqidistant

A

from the line and its reflection; two isosceles from every point on that linetriangle

20
Q

y=-x;

A

two points are switched and their signs are switched; same properties about isosceles triangle

21
Q

Any point on the mirror line is equidistant from

A

the original line and its reflected image

22
Q

Parabola

A

Vertex= line of symmetry

23
Q

ax^2+bx+

c

A

When a>0; upwards; abs a>1 skinny; x intercepts are the solutions of the equation when it is set to 0