Chapter 12.4, Problem 7Q

To determine

To Decide: Whether the given information is enough to prove that the triangles are congruent using the $SAS$ congruence theorem. If so, write a proof. If not, explain why?

Answer to Problem 7Q

Enough

Explanation of Solution

Given: $\Delta GHF,\Delta KHJ$

  

In $\Delta GHF,\Delta KHJ$

Thus

From the figure

  $\begin{array}{l}\overline{GH}\cong \overline{HK}\\ \overline{FH}\cong \overline{HJ}\\ \angle GHF\cong \angle KHJ(verticalangle)\\ thus\\ bySAS\\ \Delta GHF\cong \Delta KHJ\end{array}$

Hence, the information is enough.