Ex.7.2 Q8 Congruence of Triangles - NCERT Maths Class 7

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Question

Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.

 Video Solution
Congruence Of Triangles
Ex 7.2 | Question 8

Text Solution

What is known?

Two triangles that have five pairs of congruent parts.

What is unknown?

Despite having five pairs of congruent parts, the triangles are not congruent

Steps:

In triangle \(PQR\) and \(ABC\)

\begin{align}\overline{PQ}\text{ }&=\text{ }\overline{BC}\qquad\rm(Given)\\\overline{QR}\text{ }&=\text{ }\overline{AC}\qquad\rm(Given)\\\angle Q&=\angle B\qquad\rm(Given)\\\angle P &=\angle C\qquad\rm(Given)\\\angle R &=\angle A\qquad\rm(Given)\\\end{align}

All angles two sides are equal except one side. Hence triangle \(PQR\) is not congruent to triangle \(ABC\)