Finals Review 1

Front

What is a Pythagorean triple?

Back

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Examples include (3, 4, 5) and (5, 12, 13).

Front

What is the formula for the area of a rectangle?

Back

The area A of a rectangle is calculated using the formula A = length × width.

Front

If the sides of a rectangle are doubled, how does the area change?

Back

If the sides of a rectangle are doubled, the area increases by a factor of four.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the perimeter of a rectangle?

Back

The perimeter P of a rectangle is calculated using the formula P = 2(length + width).

Front

What is the relationship between parallel lines?

Back

Parallel lines have the same slope and never intersect.

Front

What is the formula for the diagonal of a rectangle?

Back

The length of the diagonal d of a rectangle can be found using the formula d = √(length² + width²).

Front

What is a conjecture in mathematics?

Back

A conjecture is an educated guess or hypothesis based on observations or patterns.

Front

What is the significance of even and odd numbers in Pythagorean triples?

Back

In every Pythagorean triple, at least one number is even, which is a key characteristic of these sets.