Question

1. in overlapping triangles, a common side or angle is congruent to itself by the ___ property. (reflexive, transitive, symmetric)

Explanation:

To determine the property, we analyze each option:

• Reflexive Property: States that a quantity is congruent (or equal) to itself. For a common side or angle in overlapping triangles, it is congruent to itself, which matches the Reflexive Property.
• Transitive Property: If \(a\cong b\) and \(b\cong c\), then \(a\cong c\). This is about relationships between three quantities, not a quantity with itself.
• Symmetric Property: If \(a\cong b\), then \(b\cong a\). This is about reversing the congruence relationship, not a quantity being congruent to itself.

So the correct property is Reflexive.

Answer:

Reflexive