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TRIANGLES | SUFFICIENT CONDITION FOR CONGRUENCE OF TRIANGLE | Why we are

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THE SIDES-SIDES-SIDES (SSS) CONGRUENCE CONDITION Two triangles are congruent if the three sides of one triangle are respectively equal to the three sides of the other triangles.

ASA CONGRUENCE CONDITION Two triangles are congruent if two angles and the included side of the one are respectively equal to the two angles and the included sides of the other.

SAS CONGRUENCE CONDITION Two triangles are congruent if two sides and the included angle of the one are respectively equal to the two sides and the included angle of the other.

What Is A Triangles?|Types Of Triangles On The basis Of The Length Of The Sides|Congruent Figures|Congruent Triangles|Criteria For Congruence Of Triangles|NCERT Examples

Triangles ABC and DBC have side BC common,AB=BD and AC=CD .Are the two triangles congruent? State in symbolic form.Which congruence condition do you use? Does /_ABD equal /_ACD? Why or why not?

Assertion: In triangles ABC and PQR, angleA= angleP, angleC= angleR and AC=PR . The two triangles are congruent by ASA congruence. Reason : If two angles and included side of a triangle are equal to the corresponding angles and side of the other triangle then the triangles are congruent by ASA congruence criteria. (a) Assertion and reason both are correct and reason is the correct explanation for the assertion. (b) Assertion and reason both are correct and reason is not the correct explanation for the assertion. (c) Assertion is correct but reason is wrong. (d) Reason is correct but assertion is wrong.

In triangle ABC and triangle PQR If AB = QP , angle B = angle P , BC = PR then which one of the following congruence conditions applies :

Congruence of two triangles

Criteria For Congruence Of Triangles (Axiom)|Criteria For Congruence Of Triangles ( Theorem)|NCERT Example Question

Right Hand Side Congruence Condition (RHS) Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and ne side of the other triangle.