Question

State whether the congruence of triangles have the reflexive property, the symmetric property, the transitive property.

Short answer

Yes, congruence of triangles has the reflexive property, the symmetric property and the transitive property.

Step-by-step solution

Step 1. Define a congruence of triangles.

Congruent triangles are triangles whose all three corresponding sides are equal and all three corresponding angles are equal.

Step 2. State the explanation.

If two triangles have their corresponding sides and angles equal, they are congruent.

Reflexive property of congruence states that any shape is congruent to itself.

As a triangle is congruent to itself, triangles have reflexive property.

Symmetric property of congruence states that if $A$is congruent to $B$then, $B$is congruent to $A$.

Let $ABC$ and be two triangles such that ABC is congruent to PQR, then, PQR is also congruent to ABC also.

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