Answer:
(6). SAS
(7). Not enough information
Step-by-step explanation:
Given
See attachment for triangles
Solving (6): [tex]\triangle ABC\ and\ \triangle DEC[/tex]
In the attachment, we have that:
[tex]\vert AC \vert = \vert CD \vert[/tex] -- Side
[tex]\angle ACB = \angle DCE[/tex] --- Angle
and
[tex]\vert BC \vert = \vert CE \vert[/tex] -- Side
From the information listed out, we can conclude that there is enough information to prove the congruence.
And the postulate is: SAS
Solving (7): [tex]\triangle FGH\ and\ \triangle JKH[/tex]
In the attachment, we have that:
[tex]\vert FH \vert = \vert HJ \vert[/tex] -- Side
and
[tex]\vert HK \vert = \vert HG \vert[/tex] -- Side
The two sides can not be used to prove the congruence of both angles.
