Congruence of Triangles


 
 
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

In the figure, if vertex A exactly falls on vertex D, vertex B exactly falls on vertex E, and vertex C exactly falls on vertex F, then which of the following is true?

Right Option : A
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Question : 2

In the figure shown, in bigtriangleup ACB;and;bigtriangleup CDE, if AC=CE;and;BC=CD, then how many conditions are needed for the congruence of bigtriangleup ACB;and;bigtriangleup CDE.

Right Option : A
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Explanation
Question : 3

If two triangles  Delta ABC: : and : : Delta PQR  are congruent to  Delta XYZ,  then which of the following is true ?

Right Option : D
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Explanation
 
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