Question

1. choose the best answer.

which property is illustrated?
if $\delta a \cong \delta b$ and $\delta b \cong \delta c$, then $\delta a \cong \delta c$
\bigcirc transitive property of congruence
\bigcirc commutative property of congruence
\bigcirc distributive property of congruence
\bigcirc symmetric property of congruence

Explanation:

The Transitive Property of Congruence states that if one figure is congruent to a second figure, and the second figure is congruent to a third figure, then the first figure is congruent to the third figure. In the given statement, if $\triangle A \cong \triangle B$ and $\triangle B \cong \triangle C$, then $\triangle A \cong \triangle C$, which matches the transitive property. The other properties (Commutative, Distributive, Symmetric) do not fit this relationship.

Answer:

A. Transitive Property of Congruence