Winter District Check Point 2

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

How do you find the slope from an equation in slope-intercept form?

Back

In the equation y = mx + b, the slope (m) is the coefficient of x.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. Its decimal representation is non-ending and non-repeating.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function is a function that does not graph to a straight line. Its rate of change is not constant.

Front

What is the formula for finding the missing side of a right triangle using the Pythagorean Theorem?

Back

To find the missing side, use the formula: c² = a² + b², where c is the hypotenuse and a and b are the other two sides.

Front

What is the difference between a linear and a nonlinear equation?

Back

A linear equation graphs to a straight line and has a constant rate of change, while a nonlinear equation graphs to a curve and has a variable rate of change.