Distance SAME quadrant

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What are the coordinates of a point in a Cartesian plane?

Back

A point is represented by an ordered pair (x, y), where x is the horizontal position and y is the vertical position.

Front

What is a quadrant in the Cartesian plane?

Back

A quadrant is one of the four sections of the Cartesian plane, divided by the x-axis and y-axis.

Front

How many quadrants are there in the Cartesian plane?

Back

There are four quadrants in the Cartesian plane.

Front

In which quadrant is the point (3, 4) located?

Back

Quadrant I (both x and y are positive).

Front

In which quadrant is the point (-3, -4) located?

Back

Quadrant III (both x and y are negative).

Front

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

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Front

Are the points (2, 3) and (2, 5) in the same quadrant?

Back

Yes, they are both in Quadrant I.

Front

Are the points (-1, -2) and (3, -2) in the same quadrant?

Back

No, they are in different quadrants (Quadrant III and Quadrant IV respectively).

Front

What does it mean for two points to be '3 units away' in the context of the Cartesian plane?

Back

It means the distance between the two points is 3 units, which can be calculated using the distance formula.