College Test Prep - Geometry and Prob/Stats

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). It can be expressed as: a² + b² = c².

Front

What is the formula for calculating probability?

Back

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes. It can be expressed as: P(E) = Number of favorable outcomes / Total number of outcomes.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

How do you find the tangent of an angle in a right triangle?

Back

The tangent of an angle (A) in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side. It can be expressed as: tan(A) = Opposite / Adjacent.

Front

What is the probability of selecting a non-blue or non-yellow cube from a bag containing red, white, blue, and yellow cubes?

Back

To find the probability of selecting a cube that is neither blue nor yellow, count the total number of red and white cubes and divide by the total number of cubes. In this case, P = (7 red + 4 white) / (7 + 4 + 33 + 33) = 11/77 = 1/7.

Front

What is the probability of rolling a specific number on a fair die?

Back

The probability of rolling a specific number on a fair die is 1 divided by the total number of faces on the die. For a 14-sided die, P(rolling a 2) = 1/14.

Front

What is the relationship between the angles in similar triangles?

Back

In similar triangles, corresponding angles are equal, and the ratios of the lengths of corresponding sides are proportional.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees. The side opposite the right angle is called the hypotenuse.

Front

How do you calculate the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.