Question

what values of y and z make (\triangle ghicong\triangle fed)?

Explanation:

Step1: Use the property of congruent triangles

When \(\triangle GHI\cong\triangle FED\), corresponding sides are equal.
For \(y\):
Since \(y\) in \(\triangle GHI\) corresponds to \(44\) in \(\triangle FED\) (by the order of congruence \(\triangle GHI\cong\triangle FED\), \(H\) corresponds to \(E\), \(I\) corresponds to \(D\), \(G\) corresponds to \(F\)), so \(y = 44\).

Step2: Use the property of congruent triangles

For \(z\):
Since \(z\) in \(\triangle FED\) corresponds to \(47\) in \(\triangle GHI\) (by the order of congruence \(\triangle GHI\cong\triangle FED\)), so \(z = 47\).

Answer:

\(y = 44\), \(z = 47\)