Geometric Theorems and Proofs

Which of the following is an example of a geometric theorem?

• A line has no thickness.

• A point has no dimensions.

• A plane extends infinitely in all directions.

What is the term for a statement that is accepted as true without proof in geometry?

• Theorem

• Postulate

• Corollary

• Hypothesis

Which of the following statements is true about parallel lines?

• They intersect at one point.

• They never intersect.

• They intersect at two points.

• They are always perpendicular.

Which is the correct reason for statement 2 in the proof?

• Given

• Transitive Property

• Definition of Congruent Angles

• Vertical Angles are congruent.

What is the missing statement in the proof?

• 2m∠ABD=m∠ABD+m∠ABD

• m∠ABD=m∠DBC

• m∠ABC=m∠ABC

• m∠ABD+m∠ABD=m∠ABD+m∠DBC

If M is the midpoint of AB, then AM = MB. Which of the following "reasons" fits for the statement?

• Addition POE

• Def. of Midpoint

• Reflexive POE

• Symmetric

Are the triangles congruent, if yes, why?

• SAS

• ASA

• AAS

• Not congruent

Are the triangles congruent, if yes, why?

• SAS

• ASA

• AAS

• Not Congruent

Are the triangles congruent, if yes, why?

• SSS

• SAS

• ASA

• Not Congruent

Are the triangles congruent, if yes, why?

• SSS

• SAS

• AAS

• Not Congruent