Distance on the Coordinate Plane (6th Grade)

Front

What is the distance formula on the coordinate plane?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of two points.

Tags

CCSS.HSG.GPE.B.7

Front

What does the term 'coordinate plane' refer to?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

Tags

CCSS.5.G.A.1

Front

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

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What is the significance of the distance being a positive value?

Back

Distance is always a positive value because it represents the length between two points, which cannot be negative.

Front

If two points have the same x-coordinate, what does that indicate about their distance?

Back

If two points have the same x-coordinate, they are vertically aligned, and the distance is the absolute difference of their y-coordinates.

Tags

CCSS.6.G.A.3

Front

If two points have the same y-coordinate, what does that indicate about their distance?

Back

If two points have the same y-coordinate, they are horizontally aligned, and the distance is the absolute difference of their x-coordinates.

Tags

CCSS.6.G.A.3

Front

What is the distance between the points (3, 4) and (3, 8)?

Back

The distance is 4, calculated as |8 - 4|.

Tags

CCSS.6.G.A.3

Front

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

Back

The distance is 5, calculated using the distance formula: d = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Tags

CCSS.HSG.GPE.B.7

Front

What does it mean if the distance between two points is zero?

Back

If the distance is zero, it means the two points are the same point, located at the same coordinates.

Tags

CCSS.6.G.A.3

Front

How can you determine if two points are far apart on a coordinate plane?

Back

Calculate the distance using the distance formula; a larger result indicates the points are farther apart.

Tags

CCSS.HSG.GPE.B.7