Triangle Congruence: SSS & SAS Methods

What is the main advantage of using the SSS postulate over the definition of congruent triangles?

• It is easier to understand.

• It only considers angles.

• It does not require any given information.

• It requires fewer steps to prove congruence.

In the SSS postulate, what must be true for two triangles to be congruent?

• All sides and angles must be congruent.

• Two pairs of corresponding sides and one pair of corresponding angles must be congruent.

• Three pairs of corresponding sides must be congruent.

• Three pairs of corresponding angles must be congruent.

What property allows us to say that segment BD is congruent to itself in a proof?

• Reflexive Property

• Symmetric Property

• Transitive Property

• Substitution Property

What is the key requirement for the angle in the SAS postulate?

• It must be a right angle.

• It must be an obtuse angle.

• It must be the included angle.

• It must be an acute angle.

If segment RS is congruent to segment TK and segment KS is congruent to segment KS, what additional information is needed to use the SAS postulate?

• Angle RSK must be congruent to angle RST.

• Angle S must be congruent to angle K.

• Angle R must be congruent to angle T.

• Angle RSK must be congruent to angle SKT.

Why can't we say that triangle read is congruent to triangle Kat using the SAS postulate?

• The sides are not congruent.

• The angles are not congruent.

• The included angles are not congruent.

• The triangles are not similar.

What additional information is needed to prove triangle ABC is congruent to triangle CDA using SAS?

• Angle B must be congruent to angle D.

• Angle ACD must be congruent to angle BCD.

• Angle A must be congruent to angle C.

• Angle ACD must be congruent to angle CAB.

What should you do if you find it difficult to see the congruence in overlapping triangles?

• Separate the triangles and re-label them.

• Assume they are congruent.

• Ignore the overlapping parts.

• Use a different postulate.

In a two-column proof, what is the first step?

• State the conclusion.

• Write down the given information.

• Mark the diagram.

• Identify the postulate to be used.

Which methods can be used to prove triangles are congruent as of the end of this chapter?

• SSS, SAS, and the definition of congruent triangles

• SSS, SAS, and ASA

• SAS, ASA, and the definition of congruent triangles

• SSS, ASA, and the definition of congruent triangles