Distance Formula

Yes or No

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Yes or No

Created by

Christian Angelo Lira

Philippines

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Distance FormulaOnline version Yes or No by Christian Angelo Lira 1 The distance formula is derived from the Pythagorean theorem. Yes No 2 The distance formula is given by the expression sqrt((x₂-x₁)²+(y₁-y₂)²). Yes No 3 To find the distance between (4,1) and (1,5), the correct substitution for x₂-x₁ in the distance formula is 1-4. Yes No 4 If the coordinates (3,7) and (6,3) are substituted into the distance formula, the quantity inside the square root before addition is (3)²+(-4)². Yes No 5 The calculation of the distance between (-2,5) and (4,5) yields 7. Yes No 6 The distance between the points (0,0) and (8,15) is sqrt(289). Yes No 7 The distance calculated using the distance formula must always be a rational number. Yes No 8 The simplified distance between two points that results in sqrt(72) is 36 sqrt(2). Yes No 9 A cable is strung directly between the top of two poles located at coordinates (1,10) and (5,13) on a grid where units are meters. The length of the cable is 5 meters. Yes No 10 A ship moves from a dock at coordinates (-3,4) to a buoy at (7,10). If one unit equals one nautical mile, the total distance traveled is exactly 12 nautical miles. Yes No

Distance FormulaOnline version

Yes or No

by Christian Angelo Lira

The distance formula is derived from the Pythagorean theorem.

Yes

The distance formula is given by the expression sqrt((x₂-x₁)²+(y₁-y₂)²).

Yes

To find the distance between (4,1) and (1,5), the correct substitution for x₂-x₁ in the distance formula is 1-4.

Yes

If the coordinates (3,7) and (6,3) are substituted into the distance formula, the quantity inside the square root before addition is (3)²+(-4)².

Yes

The calculation of the distance between (-2,5) and (4,5) yields 7.

Yes

The distance between the points (0,0) and (8,15) is sqrt(289).

Yes

The distance calculated using the distance formula must always be a rational number.

Yes

The simplified distance between two points that results in sqrt(72) is 36 sqrt(2).

Yes

A cable is strung directly between the top of two poles located at coordinates (1,10) and (5,13) on a grid where units are meters. The length of the cable is 5 meters.

Yes

A ship moves from a dock at coordinates (-3,4) to a buoy at (7,10). If one unit equals one nautical mile, the total distance traveled is exactly 12 nautical miles.

Yes

You can integrate the game into an LMS compatible with LTI 1.1 or LTI 1.3 such as Canvas, Moodle, or Blackboard. This way, the scores will be automatically saved into the platform’s gradebook.

Distance Formula

Yes or No

About this activity

Created by

Download the paper version to play

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Distance FormulaOnline version

by Christian Angelo Lira

The distance formula is derived from the Pythagorean theorem.

The distance formula is given by the expression sqrt((x₂-x₁)²+(y₁-y₂)²).

To find the distance between (4,1) and (1,5), the correct substitution for x₂-x₁ in the distance formula is 1-4.

If the coordinates (3,7) and (6,3) are substituted into the distance formula, the quantity inside the square root before addition is (3)²+(-4)².

The calculation of the distance between (-2,5) and (4,5) yields 7.

The distance between the points (0,0) and (8,15) is sqrt(289).

The distance calculated using the distance formula must always be a rational number.

The simplified distance between two points that results in sqrt(72) is 36 sqrt(2).

A cable is strung directly between the top of two poles located at coordinates (1,10) and (5,13) on a grid where units are meters. The length of the cable is 5 meters.

A ship moves from a dock at coordinates (-3,4) to a buoy at (7,10). If one unit equals one nautical mile, the total distance traveled is exactly 12 nautical miles.

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