Review Set 1

1.   Which mathematical system can be extended infinitely in the opposite directions but has neither width nor thickness?

• Angle

• Line

• Plane

• Point

• All right angles are congruent.

• Alternate Interior Angles are congruent

• Corresponding angles are congruent.

• Vertical Angles are congruent.

• All right angles are congruent.

• Alternate Interior Angles are congruent

• Corresponding angles are congruent.

• Vertical Angles are congruent.

4.   Which property of axiomatic structure states that whatever we attempt to test with the system will either be proven, or its negative will be proven?

• Consistency

• Completeness

• Inconsistent

• Independent

5.     Which axiom is not consistent with the other axioms?

Axiom 1: There are two angles.

                   Axiom 2: The sum of the three angles is 180 .

                   Axiom 3: The two angles are supplementary

• Axiom 1     

• Axiom 2     

• Axiom 3     

• Axiom 1 and 3    

6.    Identify the statement being described by the given axioms below?

Axiom 1. There are two parallel lines.

Axiom 2. Two lines are cut by a transversal.

Axiom 3. Transversal lines formed corresponding angles.

Axiom 4: Corresponding angles are congruent.

•   If two lines are cut by a transversal so that the corresponding angles are congruent, then these lines are parallel

• If two lines are cut by a transversal so that the corresponding angles are not congruent, then these lines are parallel

• If four lines are cut by a transversal so that the corresponding angles are congruent, then these lines are parallel

• If four lines are cut by a transversal so that the corresponding angles are not congruent, then these lines are parallel.

• Reflexive Property

• Symmetric Property

• Transitive Property

• None of the above

• I only

• I, II

• I, II, III

• I, II, III, IV

9.         Listed are the six pairs of corresponding parts of congruent triangles:

  SA≅JO , AD≅OY , SD≅JY , ∠D≅ ∠Y, ∠A≅ ∠O and ∠S≅ ∠J

Name the congruent triangles.

• ΔASD ≅ JOY

• ΔADS ≅ ΔYJO

• ΔSAD ≅ ΔJYO  

• ΔSAD ≅ ΔJOY

10.      In the figure ΔCHA ≅ Δ RHM, what is the side corresponding to CH?

• RH

• HR

• RM 

• MR