Question

11
which property is illustrated by the following statement? if $\triangle zxy \cong \triangle fde$, and $\triangle fde \cong \triangle cab$, then $\triangle zxy \cong \triangle cab$.
(images of triangles: $\triangle bca$ with vertex a, $\triangle def$ with vertex d, $\triangle xyz$ with vertex z)
a. reflexive
b. symmetric
c. transitive
d. associative

Explanation:

The transitive property of congruence states that if two figures are congruent to the same figure, then they are congruent to each other. Here, $\triangle ZXY \cong \triangle FDE$ and $\triangle FDE \cong \triangle CAB$, so by transitivity, $\triangle ZXY \cong \triangle CAB$. The reflexive property is about a figure being congruent to itself, symmetric is if $A\cong B$ then $B\cong A$, and associative is for operations, not congruence. So the property is transitive.

Answer:

C. Transitive