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AAA- is not a Criterion for Congruence of Triangles

Criteria for Triangle Congruence

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SSS and SAS Congruence
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SSS and RHS Rule of Congruence
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ASA and RHS congruence
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Criteria for Triangle Congruence

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ABCD is a square P,Q and R are the points on AB, BC  and CD respectively; such that AP=BQ=CR.
Hence, PB=QC

If the above statement is true then mention answer as 1, else mention 0 if false

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If BE and CF are two equal altitudes of a triangle ABC, then the triangle ABC is equilateral.

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?

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In the given figure, and . Prove that .

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State, whether the pairs of triangles given in the following figures are congruent or not:

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In the given figure,    and    Prove that 

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In the alongside diagram, ABCD is a parallelogram in which AP bisects angle A and BQ bisects angle B. 
State whether true or false for the following equation
PQ = CD

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Tiara wants to know the width of the given river. While doing so, she stands on the edge of the river and look straight across to a point on the other edge without changing the inclination of the neck and head. She turns side ways until the vision is in line with a point on the side of the stream.
From the above description, find the value of QR.

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In the figure O is the midpoint of AB and CD. Prove that
(i) ; (ii) .

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In the following figure , OA = OC and AB = BC ,
prove that :

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