Name the property of congruence that justifies this statement
If ∠a ≅ ∠b and ∠b ≅ ∠c, then ∠a ≅ ∠c
Does anyone have 3.6.1 reasoning and proof unit test answers?
see transitivity
The property of congruence that justifies the statement "If ∠a ≅ ∠b and ∠b ≅ ∠c, then ∠a ≅ ∠c" is the Transitive Property of Congruence. This property states that if two angles (or any other geometric figures) are congruent to the same angle, then they are congruent to each other.
The property of congruence that justifies the statement "If ∠a ≅ ∠b and ∠b ≅ ∠c, then ∠a ≅ ∠c" is the Transitive Property of Congruence.
To understand why this property justifies the statement, let's break it down. The Transitive Property of Congruence states that if two things are congruent to the same thing, then they are congruent to each other.
In this case, we have two angle pairs: ∠a ≅ ∠b and ∠b ≅ ∠c. The first pair tells us that angle ∠a is congruent to angle ∠b, and the second pair tells us that angle ∠b is congruent to angle ∠c.
By applying the Transitive Property of Congruence, since ∠a ≅ ∠b and ∠b ≅ ∠c, we can conclude that ∠a ≅ ∠c. This means that angle ∠a and angle ∠c are congruent to each other.
Please note that it is important to understand and learn these properties rather than seeking out answers for tests. The purpose of tests is to assess your understanding and application of concepts, so it is advisable to study and practice instead.