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CBSE Class 7 Answered

When is a triangle said to be congruent? Explain using figure.
Asked by Topperlearning User | 18 Nov, 2013, 11:11: PM
answered-by-expert Expert Answer

Two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

Consider the following figures:



Here, ABC and PQR have the same size and shape. Thus, they are congruent. We write it as:

ABC PQR

This means that, when PQR is placed on ABC,

Vertex P falls on Vertex A,

Vertex Q falls on Vertex B and

Vertex R falls on Vertex C.

Also,

PQ falls along AB,

QR falls along BC and

PR falls along AC.

A falls on P,

B falls on Q and

C and R.

Thus, we can write the above correspondence as:

A P, B Q and C R; So, ABC PQR

Answered by | 19 Nov, 2013, 01:11: AM
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