Distance Between Points

Front

What is the formula to calculate the distance between two points (x1, y1) and (x2, y2) in a Cartesian plane?

Back

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

Tags

CCSS.HSG.GPE.B.7

Front

When points are in different quadrants, what should you do to find the distance between them?

Back

You should add the absolute values of the differences in their x-coordinates and y-coordinates.

Tags

CCSS.6.G.A.3

Front

What does the X-Axis represent in a Cartesian coordinate system?

Back

The X-Axis represents the horizontal axis, indicating left or right movement.

Tags

CCSS.5.G.A.1

Front

What does the Y-Axis represent in a Cartesian coordinate system?

Back

The Y-Axis represents the vertical axis, indicating up or down movement.

Tags

CCSS.5.G.A.1

Front

How do you find the distance between two points that have the same x-coordinate?

Back

If two points have the same x-coordinate, the distance is the absolute difference between their y-coordinates.

Tags

CCSS.HSG.GPE.B.7

Front

How do you find the distance between two points that have the same y-coordinate?

Back

If two points have the same y-coordinate, the distance is the absolute difference between their x-coordinates.

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (-9, 8) and (-9, -7)?

Back

The distance is 16 units.

Tags

CCSS.6.G.A.3

Front

What is the distance between the points (4, 8) and (-9, 8)?

Back

The distance is 13 units.

Tags

CCSS.HSG.GPE.B.7

Front

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

Back

The distance is 7 units.

Tags

CCSS.6.G.A.3

Front

What is the significance of absolute values in distance calculations?

Back

Absolute values ensure that distances are non-negative, as distance cannot be negative.

Tags

CCSS.7.NS.A.1C