Expressions, Equations, and Relationships in Geometry Unit3

Front

What is the sum of the angles in a triangle?

Back

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

Front

If the angles of a triangle are represented as 4x, 2x, and 6x, how do you find the value of x?

Back

Set up the equation: 4x + 2x + 6x = 180. Solve for x.

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height.

Front

How do you calculate the distance between two points (B and C) on a coordinate plane?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by V = (4/3)πr³, where r is the radius.

Front

Using 3.14 for π, how do you calculate the volume of a cylinder?

Back

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

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is twice the radius: d = 2r.

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle is A = (1/2)bh, where b is the base and h is the height.

Front

How do you find the smallest angle in a triangle given the angles in terms of x?

Back

First, find x, then substitute back to find the smallest angle.

Front

What is the formula for the area of a circle?

Back

The area A of a circle is A = πr², where r is the radius.