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.

Tags

CCSS.8.G.A.5

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.

Tags

CCSS.8.G.A.5

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.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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).

Tags

CCSS.HSG.GPE.B.7

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.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.

Tags

CCSS.6.G.A.1

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.

Tags

CCSS.8.G.A.5

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.

Tags

CCSS.7.G.B.4