Question

question 7 of 10
which property is illustrated by the statement given below?
△raj≅△raj.
a. distributive
b. symmetric
c. transitive
d. reflexive

Explanation:

• The reflexive property of congruence states that any geometric figure is congruent to itself.
• In the case of triangles, \(\triangle RAJ\cong\triangle RAJ\) shows a triangle is congruent to itself.
• The distributive property is \(a(b + c)=ab+ac\) (not related to congruence).
• The symmetric property is if \(\triangle ABC\cong\triangle DEF\), then \(\triangle DEF\cong\triangle ABC\).
• The transitive property is if \(\triangle ABC\cong\triangle DEF\) and \(\triangle DEF\cong\triangle GHI\), then \(\triangle ABC\cong\triangle GHI\).

Answer:

D. Reflexive