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).

Tags

CCSS.HSG.GPE.B.7

Front

What do the variables in the Distance Formula represent?

Back

In the Distance Formula, (x1, y1) and (x2, y2) are the coordinates of the two points, and d represents the distance between them.

Tags

CCSS.HSG.GPE.B.7

Front

How do you calculate the distance between the 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 distance between the points (0, 0) and (6, 8)?

Back

Using the Distance Formula: d = √((6 - 0)² + (8 - 0)²) = √(36 + 64) = √100 = 10.

Tags

CCSS.HSG.GPE.B.7

Front

If the distance between two points is 10 units, what could be one possible pair of coordinates?

Back

One possible pair of coordinates could be (0, 0) and (6, 8), as their distance is 10 units.

Tags

CCSS.HSG.GPE.B.7

Front

What is the significance of rounding in distance calculations?

Back

Rounding is important to provide a concise and practical answer, especially in real-world applications where exact values may not be necessary.

Tags

CCSS.5.NBT.A.4

Front

How do you round the distance 6.325 to the nearest hundredth?

Back

To round 6.325 to the nearest hundredth, look at the third decimal place (5). Since it is 5 or greater, round up to 6.33.

Tags

CCSS.5.NBT.A.4

Front

What is the distance between the points (-2, -3) and (4, 5)?

Back

Using the Distance Formula: d = √((4 - (-2))² + (5 - (-3))²) = √((4 + 2)² + (5 + 3)²) = √(36 + 64) = √100 = 10.

Tags

CCSS.HSG.GPE.B.7

Front

How do you label distance in kilometers?

Back

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

Tags

CCSS.2.MD.A.2

Front

What is the distance between the points (1, 2) and (1, 5)?

Back

Using the Distance Formula: d = √((1 - 1)² + (5 - 2)²) = √(0 + 9) = √9 = 3.

Tags

CCSS.HSG.GPE.B.7