Coordinate Geometry Flashcards

1
Q

Rectangular coordinate system

A

Two perpendicular lines used to plot points, lines, and curves.

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2
Q

xy-coordinate system

A

Another name for the rectangular coordinate system.

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3
Q

xy-plane

A

Another name for the rectangular coordinate system.

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4
Q

x-axis

A

The horizontal line in the rectangular coordinate system.

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5
Q

y-axis

A

The vertical line in the rectangular coordinate system.

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6
Q

Origin

A

The point where the x-axis and y-axis intersect, corresponding to (0, 0)

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7
Q

Quadrants

A

The four sections of the rectangular coordinate system.

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8
Q

X-coordinate

A

The first coordinate after the the parentheses in an ordered pair. Tells how far right or left the point will be on the graph.

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9
Q

Y-coordinate

A

The second coordinate after the the parentheses in an ordered pair. Tells how far up or down the point will be on the graph.

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10
Q

Graph of an equation

A

The lines or curve that plots the valid solutions for an equation.

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11
Q

Slope

A

The “rise over run,” of distance moved vertical for the distance moved horizontal.

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12
Q

X-intercept

A

A point where a line or curve intersects the x-axis. Can be found by setting y equal to 0.

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13
Q

Y-intercept

A

A point on a graph where a line or curve interests the y-axis. Can be found by setting x equal to 0.

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14
Q

Parallel

A

When two lines have the same slope.

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15
Q

Perpendicular

A

When two lines have negative reciprocal slopes.

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16
Q

Line of symmetry

A

A line which something is mirrored across.

17
Q

Parabola

A

A curve in the form y=ax^2+bx+c where a does not equal 0

18
Q

Vertex

A

The lowest or highest point in a parabola where the two sides converge.

19
Q

Circle

A

An equation in the form r^2=(x-a)^2+(y-b)^2

20
Q

How do you find the center of a circle from the circle equation?

A

(a, b)

21
Q

How do you find the radius of a circle from the circle equation?

A

r is the radius.

22
Q

What is the equation to find the slope of a line?

A

(y2-y1)/(x2-x1)

23
Q

What is the equation to find the distance between two points?

A

Sqrt[(y2-y1)^2-(x2-x1)^2]