[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's check I the given pairs of triangles are congruent or not ~
problem 1
[tex]\qquad \sf \dashrightarrow \:ABC \cong FED[/tex]
These triangles are congruent by SSS congruency, as it's three sides are equal.
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problem 2
[tex]\qquad \sf \dashrightarrow \:LMN \not \cong PQO[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
These triangles are not congruent because they don't fulfill any congruency criteria.
problem 3
[tex]\qquad \sf \dashrightarrow \: XVW \cong YZA [/tex]
These triangles are congruent by AAS congruency criteria, since two angles and one of the side is common.
・ ．━━━━━━━†━━━━━━━━━．・
problem 4
[tex]\qquad \sf \dashrightarrow \: GHI \not \cong IJG [/tex]
These triangles are not congruent because they don't fulfill any criteria.
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problem 5
[tex]\qquad \sf \dashrightarrow \: PQR\cong QPO[/tex]
These triangles are congruent by SSS congruency, as it's two sides are equal and one side is common.
・ ．━━━━━━━†━━━━━━━━━．・
problem 6
[tex]\qquad \sf \dashrightarrow \: JIK \cong HIG [/tex]
These triangles are congruent by SAS congruency, since two sides and Angle between them are equal.
・ ．━━━━━━━†━━━━━━━━━．・
Problem 7
These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.
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problem 8
[tex]\qquad \sf \dashrightarrow \: BCD \cong FED [/tex]
These triangles are congruent by ASA congruency, because they have one pair equal angles, one pair of vertical opposite angles (they are equal) and a side between them equal.
・ ．━━━━━━━†━━━━━━━━━．・
problem 9
[tex]\qquad \sf \dashrightarrow \: LKM \cong LNM [/tex]
These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.
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