Undefined Terms in Geometry G8 Math

Undefined Terms

​

​MATHEMATICAL SYSTEM

​JOANA MAY P. GUNO

Mathematics Teacher

Are you familiar with this game??

Fill in the Blanks

What is the word that describes the four pictures?

Fill in the Blanks

What is the word that describes the four pictures?

Fill in the Blanks

What is the word that describes the four pictures?

Please put down your phones for a while. . .

​Let's get started!!

is a structure that consists of defined and undefined terms, axioms or postulates, and theorems. ​

There are four components of a mathematical system.

​

Mathematical System

​Words that do not require formal definition.

In geometry, there are three undefined terms

Multiple Choice

How many points determine a line?

• 0

• 3

• 2

• 4

Multiple Choice

At least how many points determine a plane?

• 0

• 3

• 2

• 4

​

“Let's have a look around the school.”

​

Since Lockdown, Kate Jade, a grade eight student, hasn't been able to see the full campus. Allow us to assist her in adjusting to the new surroundings by allowing her to roam the campus. Then respond to the following questions. The school's map (taken from a Google satellite image) is provided.

Fill in the Blanks

Name a point located in the campus.

Fill in the Blanks

Name a line on the plane A.

Fill in the Blanks

Name a plane on the campus

Fill in the Blanks

Name a the point outside the plane A

Answer the following. . .

Multiple Choice

Which of the following statements best describes a plane?

• It is a specific location in space

• It is a set of points the extends infinitely in either direction

• It is part of a line with two endpoints

• It is a set of points that forms a flat surface and it extends infinitely in all direction

Multiple Choice

How many points determine a line?

• 0

• 3

• 2

• 4

Multiple Choice

What property of equality states that any number is equal to itself?

• Distributive

• Symmetric

• Reflexive

• Transitive

Multiple Choice

What component of a mathematical system consists of a point, a line, and a plane?

• defined terms

• theorems

• postulates

• undefined terms

Multiple Choice

Which system or structure consists of both defined and undefined terms, axioms or postulates, and theorems?

• mathematical system

• scientific system

• organized system

• systematical system

Multiple Choice

At least how many points determine a plane?

• 0

• 3

• 2

• 4