Distance Between Points

Front

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

Back

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

Tags

CCSS.HSG.GPE.B.7

Front

When points are in the same quadrant, how do you find the distance between them?

Back

You subtract the absolute values of their coordinates.

Tags

CCSS.6.NS.C.8

Front

What does the X-Axis represent in a coordinate plane?

Back

The X-Axis represents the horizontal line where the y-coordinate is zero.

Tags

CCSS.5.G.A.1

Front

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

Back

You subtract the y-coordinates and take the absolute value.

Tags

CCSS.HSG.GPE.B.7

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 (-9,8) and (-9,-7)?

Back

The distance is 16 units.

Tags

CCSS.HSG.GPE.B.7

Front

What does the Y-Axis represent in a coordinate plane?

Back

The Y-Axis represents the vertical line where the x-coordinate is zero.

Tags

CCSS.5.G.A.1

Front

If two points are on the same horizontal line, how do you calculate the distance between them?

Back

You subtract their x-coordinates and take the absolute value.

Tags

CCSS.6.G.A.3

Front

What is the significance of the origin in a coordinate plane?

Back

The origin is the point (0,0) where the X-Axis and Y-Axis intersect.

Tags

CCSS.5.G.A.1

Front

How do you determine the quadrant in which a point (x,y) lies?

Back

By checking the signs of x and y: Quadrant I (x>0, y>0), Quadrant II (x<0, y>0), Quadrant III (x<0, y<0), Quadrant IV (x>0, y<0).

Tags

CCSS.6.NS.C.6B