TMUA Official 2020 Paper 2 · Question 7 · ExamDay

Official papers

Official 2020 Paper 2 · Q7

Paper 2Logic & proofGeometry

Consider the following conditions on a parallelogram $PQRS$ , labelled anticlockwise:

I length of $PQ=$ length of $QR$
II The diagonal $PR$ intersects the diagonal $QS$ at right angles
III $\angle PQR=\angle QRS$

Which of these conditions is/are individually sufficient for the parallelogram $PQRS$ to be a square?

	Condition I is sufficient	Condition II is sufficient	Condition III is sufficient
A	yes	yes	yes
B	yes	yes	no
C	yes	no	yes
D	yes	no	no
E	no	yes	yes
F	no	yes	no
G	no	no	yes
H	no	no	no

ABCDEFGH

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