Geometry cumulative final

Front

What is the tangent function (tan) in a right triangle?

Back

The tangent function (tan) is the ratio of the length of the opposite side to the length of the adjacent side. It is defined as tan(X) = opposite/adjacent.

Front

How do you find the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width. Formula: Area = length × width.

Front

What is the property of equality used when adding the same number to both sides of an equation?

Back

The property of equality used is called the Addition Property of Equality, which states that if a = b, then a + c = b + c for any number c.

Front

What is the probability of an event?

Back

Probability is a measure of the likelihood that an event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

How do you rotate a point 180° about the origin?

Back

To rotate a point (x, y) 180° about the origin, the new coordinates will be (-x, -y).

Front

What is the formula for the perimeter of a rectangle?

Back

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

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated using the formula: Area = 1/2 × base × height.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the two non-right angles is always 90 degrees.

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 circumference of a circle?

Back

The circumference of a circle is calculated using the formula: Circumference = 2πr, where r is the radius.