Graphing, Reflections, Distance on Coordinate Plane

Front

What is the coordinate plane?

Back

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

Front

What are ordered pairs?

Back

A pair of numbers (x, y) that represent a point's position on the coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

What does the X-axis represent?

Back

The horizontal axis of the coordinate plane, where the value of 'y' is zero.

Front

What does the Y-axis represent?

Back

The vertical axis of the coordinate plane, where the value of 'x' is zero.

Front

How many quadrants are in the coordinate plane?

Back

There are four quadrants in the coordinate plane, numbered I, II, III, and IV, starting from the upper right and moving counterclockwise.

Front

In which quadrant is the point (10, -5) located?

Back

Quadrant IV, where 'x' is positive and 'y' is negative.

Front

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

Back

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

Front

What is the distance between the points (3, 4) and (3, 1)?

Back

The distance is 3 units, calculated as |4 - 1|.

Front

What is a reflection in the coordinate plane?

Back

A transformation that flips a point or shape over a line, creating a mirror image.

Front

What is the reflection of the point (2, 3) over the X-axis?

Back

The reflection is (2, -3).