Math 2 Final Exam

Front

What is the result of rotating a point (x, y) 180° about the origin?

Back

The new coordinates will be (-x, -y).

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

The angle of rotation is 90° counterclockwise.

Front

How do you find the length of a side in a right triangle using the Pythagorean theorem?

Back

Use the formula a² + b² = c², where c is the hypotenuse.

Front

If a statue is 42.9 ft tall and casts a 253.1 ft shadow, how do you find the shadow length of a 6.2 ft tall object?

Back

Use the ratio: (height of object)/(shadow length) = (height of statue)/(shadow length of statue).

Front

What is the probability of an event?

Back

Probability is the number of favorable outcomes divided by the total number of outcomes.

Front

How do you calculate the probability of choosing either of two events?

Back

Add the probabilities of each event if they are mutually exclusive.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180°.

Front

What is the definition of a complementary angle?

Back

Two angles are complementary if their sum is 90°.