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TRIANGLES | SUFFICIENT CONDITION FOR CON...

TRIANGLES | SUFFICIENT CONDITION FOR CONGRUENCE OF TRIANGLE, SOME INEQUALITY RELATION IN A TRIANGLE | Side Side Side(SSS) Congruence : Two triangles are congruent if the three sides of one triangle are equal to the corresponding three sides of the other triangle., 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 side of the other triangle., If two sides of a triangle are unequal; the longer side has greater angle opposite to it., In a triangle the greater angle has the longer side opposite to it., The sum of any two sides of a triangle is greater than third side., All the line segment that can be drawn to a given line; from a point;not lying on it; the perpendicular line segment is the shortest., Distance Between A line and a points

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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.

Prove that Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and one side of the other triangle.

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.

Side Angle Side (SAS) Congruence - Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and the included angle of the other triangle.

Angle-Side-Angle (ASA) Congruence-Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.

Theorem 7.4 (SSS congruence rule) : If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

Angle Angle Side (AAS) Congruence-If any two angles and a non-included side of one triangle are equal to the corresponding angles and side of another triangle; the two ttriangles are congruent.

If in two right triangles, the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent. 1. In the figure, it is given that LM =MN, QM= MR, ML bot PQ and MN bot PR . then

If hypotenuse and an acute angle of one right triangle are equal to the hypotenuse and an acute angle of another right triangle, then the triangles are congruent

If in two right triangles, the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent. 1. PL is an altitude from P of DeltaPQR on QR such that QL = LR. Then,