Congruence of Triangles


Congruence of Triangles I - Concepts
Class - 7th Foundation NTSE Subjects
 
 
Concept Explanation
 

Congruence of Triangles

Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other.

A polygon made of three line segments forming three angles is known as Triangle.

Two triangles are said to be congruent if their sides have the same length and angles have same measure. Thus two triangles can be superimposed side to side and angle to angle.

Congruence Of Triangles

In the above figure, D ABC and D PQR are congruent triangles. This means,

Vertices:  A and P, B and Q, and C and R are same.

Sides:  AB=PQ, QR= BC and AC=PR;

Angles:  Ð A = Ð P, ÐB = ÐQ and Ð C= Ð R.

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Sample Questions
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Question : 1

Triangle ABC is congruent to triangle XYZ. Which angle corresponds to angle B?

Right Option : B
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Question : 2

In the figure shown, if bigtriangleup ABCcong bigtriangleup DEG and vertex A exactly falls on vertex D, then vertex B and C must fall on vertex _______ and _______ respectively.

Right Option : B
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Question : 3

Triangle ABC is congruent to triangle XYZ. Which angle corresponds to angle A?

Right Option : A
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Explanation
 
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