Coordinate Plane Flashcard

Front

What is the coordinate plane?

Back

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).

Front

What are the four quadrants of the 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 reflect a point across the y-axis?

Back

Change the sign of the x-coordinate of the point. For example, the reflection of (x, y) is (-x, y).

Front

How do you reflect a point across the x-axis?

Back

Change the sign of the y-coordinate of the point. For example, the reflection of (x, y) is (x, -y).

Front

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

Back

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

Front

What are the coordinates of the origin in the coordinate plane?

Back

(0, 0).

Front

What does it mean if a point is located on the x-axis?

Back

The y-coordinate of the point is 0. For example, (3, 0) is on the x-axis.

Front

What does it mean if a point is located on the y-axis?

Back

The x-coordinate of the point is 0. For example, (0, -4) is on the y-axis.

Front

What is the absolute value of a number?

Back

The distance of that number from zero on the number line, always positive. For example, |-3| = 3.

Front

How do you find the coordinates of a point given its reflection across the y-axis?

Back

If the original point is (x, y), the reflected point is (-x, y).