Coordinate Plane - 4 Quadrants

How do you identify which quadrant a point is in?

• Look at the signs of the x and y coordinates: Quadrant I (both positive), Quadrant II (x negative, y positive), Quadrant III (both negative), Quadrant IV (x positive, y negative).

• Check the distance of the point from the origin to determine the quadrant.

• Identify the angle of the point with respect to the x-axis to find the quadrant.

• Use the absolute values of the x and y coordinates to determine the quadrant.

What is the distance from the origin to the point (3, 4)?

• 3 units

• 4 units

• 5 units

• 6 units

What is the x-coordinate in the ordered pair (4, -5)?

• 2

• 4

• -5

• 0

What does it mean if a point has a negative x-coordinate and a positive y-coordinate?

• It means the point is located in Quadrant I of the coordinate plane.

• It means the point is located in Quadrant II of the coordinate plane.

• It means the point is located in Quadrant III of the coordinate plane.

• It means the point is located in Quadrant IV of the coordinate plane.

If a point is in Quadrant II, what can you say about its coordinates?

• The x-coordinate is positive and the y-coordinate is negative.

• The x-coordinate is negative and the y-coordinate is positive.

• Both the x-coordinate and y-coordinate are positive.

• Both the x-coordinate and y-coordinate are negative.

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

• d = √((x2 - x1)² + (y2 - y1)²)

• d = (x2 - x1) + (y2 - y1)

• d = √((x2 + x1)² + (y2 + y1)²)

• d = |x2 - x1| + |y2 - y1|

What is the y-coordinate in the ordered pair (-3, 7)?

• 5

• 6

• 7

• 8

What is a coordinate plane?

• A two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs (x, y).

• A one-dimensional line used to measure distances between points.

• A three-dimensional space used for plotting graphs in calculus.

• A type of graph that only represents linear equations.

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

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

• The origin is the point where the x-axis meets the z-axis in three-dimensional space.

• The origin is the point (1, 1) that represents the maximum value in a coordinate system.

• The origin is the point (0, 1) that indicates the start of the y-axis.

What is the first step in plotting a point on the coordinate plane?

• Identify the x-coordinate and move horizontally from the origin to that value.

• Draw a vertical line from the origin to the y-coordinate.

• Mark the origin point on the coordinate plane.

• Connect the point to the origin with a straight line.