Distance Formula

Front

What is the Distance Formula?

Back

The Distance Formula is used to determine the distance between two points in a coordinate plane. It is given by the formula: d = √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Tags

CCSS.HSG.GPE.B.7

Front

How do you calculate the distance between two points (3, 4) and (7, 1)?

Back

Using the Distance Formula: d = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

Tags

CCSS.HSG.GPE.B.7

Front

What is the significance of rounding in distance calculations?

Back

Rounding is important in distance calculations to provide a more manageable number, especially when dealing with real-world applications. It helps in reporting distances in a clear and concise manner.

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CCSS.5.NBT.A.4

Front

What units are commonly used when measuring distance?

Back

Common units for measuring distance include meters (m), kilometers (km), miles, and feet.

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CCSS.2.MD.A.2

Front

How do you label distance in kilometers?

Back

When reporting distance in kilometers, you should include 'km' after the numerical value, e.g., 7.21 km.

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CCSS.2.MD.A.2

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

Using the Distance Formula: d = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (-2, -3) and (3, 1)?

Back

Using the Distance Formula: d = √((3 - (-2))² + (1 - (-3))²) = √((3 + 2)² + (1 + 3)²) = √(25 + 16) = √41.

Tags

CCSS.HSG.GPE.B.7

Front

How do you find the distance between two points on a graph?

Back

To find the distance between two points on a graph, use the Distance Formula: d = √((x2 - x1)² + (y2 - y1)²), substituting the coordinates of the points into the formula.

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (0, 0) and (5, 5)?

Back

Using the Distance Formula: d = √((5 - 0)² + (5 - 0)²) = √(25 + 25) = √50 = 5√2 or approximately 7.07.

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (2, 3) and (2, 7)?

Back

Using the Distance Formula: d = √((2 - 2)² + (7 - 3)²) = √(0 + 16) = √16 = 4.

Tags

CCSS.HSG.GPE.B.7