| Formula History | Fill in the Blank | Solve It | Find the Error |
|---|---|---|---|
|
The Pythagorean Theorem
What theorem is the distance formula based off of?
|
Coordinates
To use the distance formula, you simply plug in the values of the _____ into the formula.
|
5 units
What is the distance between the points (2, 3) and (5, 7)?
|
d = √((x2 - x1)^2 +(y2 -y1)^2)
x2 and x1 were switched, y2 and y1 were switched.
d = √((x1 - x2)^2 +(y1-y2)^2)
|
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To find the distance between two points.
What is the purpose of the Distance Formula?
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Distance
The distance formula is a mathematical equation used to calculate the _____ between two points in a coordinate plane.
|
4 units
What is the distance between (1, 1) and (1, 5)?
|
The distance is always 0
If two points coincide (have the same coordinates) the distance between them is 2.
|
|
The coordinates of the first point
What do the coordinates (x1, y1) represent?
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(y2 - y1)
d = √((x2 - x1)^2 +(____)^2)
|
6 units
What is the distance from (-1, -1) to (5, 5)?
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It cannot be negative
Distance is a measure of the extent of space between two points, and it can be negative.
|
|
Pythagoras and Euclid
Who is credited with developing the distance formula?
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(x2, y2)
______ represents the coordinates of the second point
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4 units
Calculate the distance between (-4, 3) and (3, -2).
|
d = √((x2 - x1)^2 +(y2 -y1)^2)
x and y should not be subtracted from each other.
d = √((x-y)^2 +(x-y)^2)
|
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