Geometry SAT Review Week Flashcard

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

How do you calculate the height of a tree using trigonometry?

Back

To find the height of a tree, you can use the tangent function: tan(θ) = opposite/adjacent, where θ is the angle of elevation, the opposite side is the height of the tree, and the adjacent side is the distance from the tree.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Front

How do you solve an absolute value equation?

Back

To solve an absolute value equation, set up two separate equations: one for the positive case and one for the negative case, then solve each equation.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions are the values that satisfy all equations in the system.

Front

What does it mean to find the total distance traveled?

Back

Total distance traveled is the sum of all distances covered during a journey, regardless of direction.

Front

What is the formula for the distance between two points in a coordinate plane?

Back

The distance d between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the difference between a scalar and a vector quantity?

Back

A scalar quantity has only magnitude (e.g., distance), while a vector quantity has both magnitude and direction (e.g., displacement).

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations represent the problem accurately.

Front

What is the sine function in trigonometry?

Back

The sine function relates the angle of a right triangle to the ratio of the length of the opposite side to the hypotenuse: sin(θ) = opposite/hypotenuse.