Question

Which property is illustrated by the statement below about congruence of angles? If ∠ r ≅ ∠ t , then ∠ t ≅ ∠ r . a. transitive

Answer 1

This is the reflexive property of equality.

(Though I dont see the point of labelling it - its just plain common sense!)

Answer 2

In order to proof this, we need to know about the reflexive property of congruence.

Reflexive property of congruence

In geometry according to the reflexive property of congruence, an angle, line segment, or shape is always congruent to itself.

The reflexive property seems to be of no use, but it is used in proofs. For example,

Given,

1. a=b,

2. Reflexive property of equality

ac=ac,

3. Substitution property of equality

ac=bc

Proof

Given,

∠ r ≅ ∠ t

Reflexive property of equality

∠ r ≅ ∠ r

Substitution property of equality

∠ r ≅ ∠ t

Hence, It is proved that ∠ r ≅ ∠ t.

Learn more about the Reflexive property of congruence:

https://brainly.com/question/10618745