Topics
Congruence and Similarity
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India
Class IX

Congruence in Quadrilaterals

Lesson
Practice

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
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
Easy
1min

The figure shows quadrilateral $ABCD$ABCD , such that $AB$AB is parallel to $CD$CD

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

Easy
1min

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

Medium
5min

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

Medium
2min
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Outcomes

9.G.T.1

Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence). Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence). Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

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