Question

Name the property of equality or congruence that justifies going from the first statement to the second statement.

ST=QR
QR=ST

a) reflexive property of congruence
b) symmetric property of congruence
c) transitive property of congruence
d) substitution property of congruence

Answer 1

b) symmetric property of congruence

Explanation:

Congruence :

Two figures are said to be congruent if they overlap each other .

Reflexive property of congruence :

Reflexive property of congruence states that the figure is congruent to itself .

Symmetric property of congruence :

Symmetric property of congruence states that if one figure is congruent to the other figure then the other figure is also congruent to the given figure .

Transitive property of congruence :

Transitive property of congruence states that if figure A is congruent to B and figure B is congruent to C then figure A is congruent to C .

Substitution property of congruence :

If two figures are congruent such that some property applies to both the figures then we can replace one figure with the other .

Given :

ST = QR and QR = ST

So, Symmetric property of congruence justifies going from the first statement to the second statement .

Answer 2

The correct answer of the given question above would be option B. Given the statements above, the property of equality or congruence that justifies this would be the symmetric property of congruence. This states that if a geometric figure A is congruent to a figure B, then B is also congruent to A. Hope this is the answer that you are looking for.