Geometry Final

Front

What is the probability of two independent events occurring together?

Back

The probability of two independent events A and B occurring together is given by P(A ∩ B) = P(A) * P(B).

Front

If a coin is tossed and a number cube is rolled, what is the probability of getting tails and a 3?

Back

The probability of getting tails (1/2) and rolling a 3 (1/6) is P(Tails ∩ 3) = (1/2) * (1/6) = 1/12.

Front

What does the notation (x, y) → (x - 2, y + 3) represent in geometry?

Back

This notation represents a translation of a point (x, y) 2 units to the left and 3 units up.

Front

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

Back

In a right triangle, the length of a side can be found using a² + b² = c², where c is the hypotenuse.

Front

What is the solution to the equation 2x + 10 = 80?

Back

To solve for x, subtract 10 from both sides: 2x = 70, then divide by 2: x = 35.

Front

Define the term 'complementary angles'.

Back

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

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

What is the probability of an event that is certain to happen?

Back

The probability of an event that is certain to happen is 1.

Front

What is the sum of the interior angles of a triangle?

Back

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

Front

How do you calculate the circumference of a circle?

Back

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