Points and Lines Flashcards

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0
Q

Axes

A

Plural of axis

Vertical and horizontal lines on a graft

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1
Q

Plane

A

Two dimensional space

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2
Q

Abscissa

A

First coordinate

x number

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3
Q

Ordinate

A

Second coordinate

y number

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4
Q

Ordered pairs

A

(x, y)

Points on a plane

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5
Q

Origin

A

The place where the two axes meet

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6
Q

Quadrants

A

The four areas of a plane

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7
Q

In quadrant I, how do x & y relate to 0?

A

x is positive

y is positive

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8
Q

In quadrant II, how do x & y relate to 0?

A

x is negative

y is positive

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9
Q

In quadrant III, how do x & y relate to 0?

A

x is negative

y is negative

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10
Q

In quadrant IV, how do x & y relate to 0?

A

x is positive

y is negative

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11
Q

Does every point on a line have the same value?

A

Yes

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12
Q

What is the formula for the distance between two points on a plane?

(x₁, y₁) vs. (x₂, y₂)

A

_________________

Distance = √ (x₂ - x₁)² + (y₂ - y₁)²

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13
Q

Are distances always positive?

A

Yes

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14
Q

How do you find the midpoint of a line on a plane?

A

(x₁ + x₂) (y₁ + y₂)
Midpoint = ——— , ———-
2 2

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15
Q

How do you find the distance on a horizontal line in a plane?

A

Distance = x₂ - x₁

16
Q

How do you find the midpoint of a horizontal line in a plane?

A

x₁ + x₂
Midpoint = ——–
2

17
Q

How do you find the distance on a vertical line in a plane?

A

Distance = y₂ - y₁

18
Q

How do you find the midpoint of a vertical line in a plane?

A

y₁ + y₂
Midpoint = ——–
2

19
Q

How do you find the slope of a line on a plane?

A

Rise / Change in y
Slope = ———————-
Run / Change in x

            y₂ - y₁ Slope  =  --------
            x₂ - x₁
20
Q

A slope is positive if it goes from the ______ to the ______.

A

Lower left

Upper right

21
Q

A slope is negative if it goes from the ______ to the ______.

A

Upper left

Lower right

22
Q

Horizontal slopes have ______ slope.

A

Zero

23
Q

Vertical lines have _____ slope, _____ slope, or “_____” slope.

A

No

Undefined

Infinite

24
Q

If (m, n) and (p, q) form a horizontal line, which letters will be the same number?

A

n & q

25
Q

If (m, n) and (p, q) form a vertical line, which letters will be the same number?

A

m & p

26
Q

The x axis is _______. The y axis is ______.

A

Horizontal

Vertical

27
Q

What is a corresponding angle?

A
/
\_\_\_\_\_x/\_\_\_\_\_\_
          /
\_\_\_\_x/\_\_\_\_\_\_\_\_
        /
28
Q

What is an alternate angle?

A
/
\_\_\_\_\_ /\_\_\_\_\_\_\_
       x/
\_\_\_  /x\_\_\_\_\_\_\_
      /