Exploring Triangle Congruence and Similarity: The SSA Case

Which postulate guarantees that two triangles are congruent if all three sides are known?

• AAS

• ASA

• SSS

• SAS

If two triangles have two sides and the included angle equal, which postulate applies?

• SAS

• ASA

• SSA

• SSS

What is the term used to describe the SSA postulate due to its potential to form different triangles?

• Similar case

• Unique case

• Definite case

• Ambiguous case

How many unique triangles can be formed with side lengths 10, 6, and an angle of 30 degrees using SSA?

• 1

• 2

• 3

• 0

What happens if the side opposite the angle in SSA is shorter than the adjacent side?

• No triangle can be formed

• Two unique triangles are formed

• The triangles are always congruent

• One unique triangle is formed

Which postulate is used when two angles and the included side are known?

• ASA

• SAS

• SSA

• SSS

If two triangles have all three angles equal, what can be said about them?

• They are ambiguous

• They are congruent

• They are similar

• They are identical

Which postulate guarantees congruence if two angles and a non-included side are known?

• SAS

• ASA

• SSS

• AAS

In the SSA postulate, when does it guarantee exactly one triangle?

• When the opposite side is shorter

• When the opposite side is longer

• When the sides are equal

• When the angle is 90 degrees

What is the result when the two sides in SSA are of equal length?

• No triangle can be formed

• One unique triangle is formed

• Two unique triangles are formed

• The triangles are always congruent