Understanding Undefined Terms in Geometry

What undefined term is represented by a dot?

• Point

• Line

• Plane

• Angle

What undefined term is represented by the edge of a ruler?

• Point

• Line

• Plane

• Angle

Which of the following does not represent a plane?

• tip of a pen

• top of the table

• cover page of a book

• faces of a rectangular box

Which of the following statements is true about defined terms?

• These are concepts that need to be defined.

• These are statements accepted after it is proved deductively.

• These are concepts that can be defined using the undefined terms.

• These are statements assumed to be true and need no further proof.

What of the following statements describes a theorem?

• A theorem is the same thing as a postulate.

• A statement that is accepted as true without a formal proof.

• A statement that must be proven using axioms and logical reasoning.

• Theorem represent undefined ideas like points and planes.

6. Which of the following best describes the relationship between Postulates and theorems within a mathematical system?

• a. Postulates are derived from theorems through logical proofs.

• b. Theorems are accepted without requiring any proof or evidence.

• c. Postulates is the foundational truths, while theorems are proven statements based on these axioms and other logical deductions.

• d. Theorems and Postulates are equivalent statements in geometry.

7. Which are the undefined terms in Geometry?

• a. Point, Line and Plane

•    b. Plane and Solid Figures    

•      c. Polygons and Circles    

•   d. Rays and Segments

8. Which term denotes a position in space and has no dimensions?

a. Line      b. Point      c. Ray      d. Segment

• a. Line

•   b. Point   

• c. Ray

•    d. Segment

9. Which defined terms are points that lie on the same line?

         

• a. Non-coplanar Points

•     b. Non-collinear Points 

• c. Coplanar Points    

• d. Collinear Points

10. Which undefined terms extends on both directions without end?

• a. Plane

• b. Ray

•   c. Line  

•     d. Line Segment