Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

What is the slope of a line perpendicular to y = -2x + 1?

Back

The slope of a line perpendicular to y = -2x + 1 is 1/2.

Front

What shape is the horizontal cross-section of a cone?

Back

The horizontal cross-section of a cone is a circle.

Front

What is the definition of a cross-section in geometry?

Back

A cross-section is the intersection of a solid and a plane.

Front

What is the formula for the area of a rectangle?

Back

The area A of a rectangle is given by the formula A = length × width.

Front

What is the definition of a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

If the ratio is 3 to 1, how many parts are there in total?

Back

If the ratio is 3 to 1, there are 4 parts in total.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points?

Back

The slope m can be found using the formula m = (y2 - y1) / (x2 - x1).