Question

How do I find whether questions 5-8are congruent by SSS (Side-Side-Side) or SAS ( Side-Angle-Side).Then write a congruency statement.

Answer 1

5)

Consider triangle FEC and triangle FED

Given that,

`\begin{gathered} \bar{FC}=\bar{FD} \\ \bar{CE}=\bar{DE} \end{gathered}`

Also,

`\bar{FE}=\bar{FE}\text{ (common)}`

Therefore, by, SSS congruence rule,

`\Delta FEC\text{ }\cong\Delta FED`

6)

Consider triangle DAJ and triangle EAM

Given that,

`\begin{gathered} \bar{DA}=\bar{EA} \\ \bar{DJ}=\bar{EM} \end{gathered}`

Since linesegments, DJ parallel to ME,

`\angle ADJ\text{ =}\angle AEM\text{ ( since, interior opposite angles are equal)}`

Therefore, by SAS congruence rule,

`\Delta DAJ\text{ }\cong\Delta\text{EAM}`