The two triangles are made by two transversals of a pair of parallel
segment which form the base of each triangle.
The rule by which the triangle are congruent is B) ASA.
Reason:
The given parameters are;
∠FGC ≅ ∠JHC; By congruent angles single arc symbol.
[tex]\overline {GC}[/tex] ≅ [tex]\overline {HC}[/tex]; By congruent segment single tic mark symbol.
∠FCG ≅ ∠HCJ; By vertical angles theorem.
The order of the congruent parts of the triangles, moving round the triangle
in a clockwise or anticlockwise direction are;
First, angle; ∠FGC ≅ ∠JHC
Second, side; [tex]\overline {GC}[/tex] ≅ [tex]\overline {HC}[/tex]
Third, angle; ∠FCG ≅ ∠HCJ
Therefore, the rule by which the triangle are congruent is Angle-Side-
Angle, ASA, rule of congruency;
The Angle-Side-Angle rule of congruency states that if two angles and an
included side on one triangle are congruent to two angles an included side
on another triangle, the two triangles are congruent.
The correct option is option B. ASA
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