Geometry Semester Exam (CBA Quarter 2)

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where V is the volume and r is the radius.

Front

If the radius of a sphere is doubled, how does the volume change?

Back

The volume increases by a factor of 8.

Front

What are the conditions for three lengths to form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).

Front

What is the Pythagorean Theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What defines parallel lines in terms of their slopes?

Back

Two lines are parallel if they have the same slope.

Front

What is the relationship between the sides of a right triangle?

Back

The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the formula for the area of a triangle?

Back

A = 1/2 * base * height.

Front

What is the relationship between the angles in a triangle?

Back

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