TMUA Official 2016 Paper 2 · Question 9 · ExamDay

Official papers

Official 2016 Paper 2 · Q9

Paper 2Logic & proofGeometry

Triangles $ABC$ and $XYZ$ have the same area.

Which of these extra conditions, taken independently, would imply that they are congruent?

(1) $AB=XY$ and $BC=YZ$
(2) $AB=XY$ and $\angle ABC=\angle XYZ$
(3) $\angle ABC=\angle XYZ$ and $\angle BCA=\angle YZX$

	Condition (1)	Condition (2)	Condition (3)
A	Does not imply congruent	Does not imply congruent	Does not imply congruent
B	Does not imply congruent	Does not imply congruent	Implies congruent
C	Does not imply congruent	Implies congruent	Does not imply congruent
D	Does not imply congruent	Implies congruent	Implies congruent
E	Implies congruent	Does not imply congruent	Does not imply congruent
F	Implies congruent	Does not imply congruent	Implies congruent
G	Implies congruent	Implies congruent	Does not imply congruent
H	Implies congruent	Implies congruent	Implies congruent

ABCDEFGH

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