UK Secondary (7-11)
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Congruence in Quadrilaterals

Interactive practice questions

In the diagram, $NOPQ$NOPQ is a parallelogram. Triangles $\triangle NQR$NQR and $\triangle POR$POR are congruent.

a

Which side in $\triangle POR$POR corresponds to side $QR$QR?

$PR$PR

A

$OR$OR

B

$PO$PO

C

$PR$PR

A

$OR$OR

B

$PO$PO

C
b

If $NR$NR is $4$4 cm long, how long is $PR$PR?

c

The diagonals of a parallelogram:

bisect one another.

A

bisect the corner angles.

B

are equal in length.

C

bisect one another.

A

bisect the corner angles.

B

are equal in length.

C
Easy
Approx a minute
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The figure shows quadrilateral $ABCD$ABCD , such that $AB$AB is parallel to $CD$CD

and $AD$AD is parallel to $BC$BC.

Consider the parallelogram $ABCD$ABCD. We want to deduce a property of the diagonals of a parallelogram.

In parallelogram $ABCD$ABCD, $AB$AB is parallel to $DC$DC and $BC$BC is parallel to $AD$AD.

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