determining side length relationships given $\overline{ac} \cong \overline{fe}$ and $\overline{cb} \cong \overline{ed}$ which statement is correct? $\bigcirc$ $ab = fd$ $\bigcirc$ $ab fd$ $\bigcirc$ $ab \leq fd$

Question

determining side length relationships given $\overline{ac} \cong \overline{fe}$ and $\overline{cb} \cong \overline{ed}$ which statement is correct? $\bigcirc$ $ab = fd$ $\bigcirc$ $ab < fd$ $\bigcirc$ $ab > fd$ $\bigcirc$ $ab \leq fd$

Accepted Answer

# Explanation:
## Step1: Identify triangles and given info
Triangle $ABC$ has $AC \cong FE$, $CB \cong ED$, $\angle C = 83.5^\circ$; Triangle $FDE$ has $\angle E = 62.7^\circ$.
## Step2: Apply SAS inequality theorem
SAS inequality: If two sides of a triangle are congruent to two sides of another triangle, the triangle with the larger included angle has the longer third side. Here, $\angle C > \angle E$, so $AB > FD$.

# Answer:
AB > FD

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Question

Explanation:

Step1: Identify triangles and given info

Step2: Apply SAS inequality theorem

Answer: