Question

Need Help Asap!!

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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 \\ot \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 \\ot \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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