Question

use the two triangles below to answer the following questions.

enter a congruence statement about the two triangles.

to enter a congruence statement, type
cong(triangle(vertices), triangle(vertices)). for instance,
cong(triangle(pqr), triangle(xyz)) yields the statement $\triangle pqr \cong \triangle xyz$

Explanation:

Step1: Identify Corresponding Angles and Sides

Looking at the triangles, we can see that $\angle A$ corresponds to $\angle D$, side $AB$ corresponds to side $DE$ (marked with the same tick mark), and $\angle B$ corresponds to $\angle E$. So the vertices should be matched as $A$ to $D$, $B$ to $E$, and $C$ to $F$.

Step2: Write the Congruence Statement

Using the correspondence of vertices, the congruence statement for the two triangles $\triangle ABC$ and $\triangle DEF$ (or $\triangle A CB$ and $\triangle DFE$ but based on the angle and side markings, the correct correspondence is $A - D$, $B - E$, $C - F$) is $\triangle ABC \cong \triangle DEF$. In the required format, it is $\text{cong(triangle(ABC), triangle(DEF))}$.

Answer:

$\text{cong(triangle(ABC), triangle(DEF))}$