State RHS congruency rule.

State SAS congruency rule.

State ASA congruency rule.

State SSS congruency rule.

Through construction we have seeri that SSS congruency rule hold. This theorem can be proved using a suitable construction.

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using RHS congruence rule. {:(" "Delta ABC ," " Delta PQR ),(angle A = 90^(@) " ,AC = 5 cm, BC = 9 cm " ,angle Q = 90^(@) ", RP= 8 cm, PQ = 5 cm "):}

BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

triangleABC is an isosceles triangle in which AB = AC. Show angleB=angleC (Hint : Draw APbotBC) (Using RHS congruence rule)

In the figures given below, measures of some parts of triangles are given. By applying RHS congruence rule, state which pairs of triangles are congruent. In case of congruent triangles, write the result in symbolic form.

In the figures given below, measures of some parts of triangles are given. By applying RHS congruence rule, state which pairs of triangles are congruent. In case of congruent triangles, write the result in symbolic form.

It is to be established by R.H.S congruence rule that DeltaABC ~=DeltaRPQ . What additional information is needed, if it is given that angleB=angleP=90^@ and AB= RP ?