Front

What are the four quadrants in a coordinate plane?

Back

Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

How do you determine if two points are in the same quadrant?

Back

Check the signs of their x and y coordinates. If both points have the same signs for x and y, they are in the same quadrant.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

Calculate the distance between the points (1,2) and (4,6).

Back

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

Front

What does it mean for points to be in different quadrants?

Back

It means that the points have different signs for their x or y coordinates.

Front

If Point A is at (3,4) and Point B is 1 unit away, what could be the coordinates of Point B?

Back

Point B could be at (3,5) or (3,3) or (4,4) or (2,4).

Front

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

Back

The origin (0,0) is the point where the x-axis and y-axis intersect, serving as the reference point for all other points.

Front

How can you tell if a point is on the x-axis or y-axis?

Back

A point is on the x-axis if its y-coordinate is 0 (e.g., (x, 0)). A point is on the y-axis if its x-coordinate is 0 (e.g., (0, y)).

Front

What is the coordinate of a point in Quadrant II?

Back

A point in Quadrant II has a negative x-coordinate and a positive y-coordinate (e.g., (-3, 4)).

Front

If two points have the same x-coordinate, what can you say about their positions?

Back

They are vertically aligned and may be in the same or different quadrants depending on their y-coordinates.