Final IM1 / GEO

Front

What is the Pythagorean Theorem?

Back

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: c² = a² + b².

Front

How do you find the distance between two points in a coordinate plane?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the Point-Slope form of a linear equation?

Back

The Point-Slope form is given by: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What defines a function in mathematics?

Back

A relation is a function if each input (x-value) has exactly one output (y-value).

Front

How do you determine if a relation is a function?

Back

Check if any x-value is repeated with different y-values. If so, it is not a function.

Front

What is the slope of a line?

Back

The slope (m) is a measure of the steepness of a line, calculated as the rise over run: m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line in slope-intercept form?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

How do you identify the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.