Question

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Answer 1

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's check I the given pairs of triangles are congruent or not ~

problem 1

$\qquad \sf \dashrightarrow \:ABC \cong FED$

These triangles are congruent by SSS congruency, as it's three sides are equal.

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problem 2

$\qquad \sf \dashrightarrow \:LMN \not \cong PQO$

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These triangles are not congruent because they don't fulfill any congruency criteria.

problem 3

$\qquad \sf \dashrightarrow \: XVW \cong YZA$

These triangles are congruent by AAS congruency criteria, since two angles and one of the side is common.

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problem 4

$\qquad \sf \dashrightarrow \: GHI \not \cong IJG$

These triangles are not congruent because they don't fulfill any criteria.

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problem 5

$\qquad \sf \dashrightarrow \: PQR\cong QPO$

These triangles are congruent by SSS congruency, as it's two sides are equal and one side is common.

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problem 6

$\qquad \sf \dashrightarrow \: JIK \cong HIG$

These triangles are congruent by SAS congruency, since two sides and Angle between them are equal.

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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

$\qquad \sf \dashrightarrow \: BCD \cong FED$

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

$\qquad \sf \dashrightarrow \: LKM \cong LNM$

These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.

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