Lesson 3.7 Rational Numbers and the Coordinate Plane

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What are the four quadrants of the coordinate plane?

Back

Quadrant I: (+, +), Quadrant II: (-, +), Quadrant III: (-, -), Quadrant IV: (+, -).

Front

How do you identify the quadrant of an ordered pair?

Back

The quadrant is determined by the signs of the x (horizontal) and y (vertical) coordinates. (+, +) is Quadrant I, (-, +) is Quadrant II, (-, -) is Quadrant III, and (+, -) is Quadrant IV.

Front

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

Back

The coordinates of the origin are (0, 0).

Front

What does it mean to reflect a point across the x-axis?

Back

Reflecting a point across the x-axis means to invert the y-coordinate of the point while keeping the x-coordinate the same.

Front

What does it mean to reflect a point across the y-axis?

Back

Reflecting a point across the y-axis means to invert the x-coordinate of the point while keeping the y-coordinate the same.

Front

If a point is located in Quadrant II, what are the signs of its coordinates?

Back

In Quadrant II, the x-coordinate is negative and the y-coordinate is positive.

Front

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

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

The midpoint formula is M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you plot the point (3, -5) on the coordinate plane?

Back

Start at the origin (0, 0), move 3 units to the right (positive x-direction), and then move 5 units down (negative y-direction).