Congruence of 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.

In Fig.31, A B=A D\ a n d\ /_B A C=/_D A C State in symbolic form the congruence of two triangles ABC and ADC that is true. Complete each of the following, so as to make it true: /_\ A B C /_\ A C D Line segment bisects ____ and _____

Use the information marked to prove : (i) DeltaEAC cong DeltaDBC (ii) EC = DC Also state the Euclid's axiom used in proving the congruency of two triangles.

Explain the concept of congruence of figures with the help of certain examples.

If Delta be area of incircle of a triangle ABC and Delta_1,Delta_2,Delta_3 be the area of excircles then find the least value of (Delta_1 Delta_2 Delta_3)/(729 Delta^3)

The median of a triangle divides it into two (a)congruent triangle (b) isosceles triangles (c)right triangles (d) triangles of equal areas

overline(AC) and overline(BD) are diameters of circle E above. Which triangle congruence theorem can be used to prove that triangleAEB is congruent to triangleDEC ?

In Delta ABC, ? A=30^@, ? B=40^@ and ? C=110^@ In Delta PQR, ? P=30^@, ? Q=40^@ and ? R=100^@ A student says that DeltaABCE and DeltaPQR by AAA Congruence criterion. Is he justified ? Why or why not ?

In each of the following pairs of triangles the measure of some parts are indicated along. Side. By the application of SAS congruence condition, state which are congruent. State the result in symbolic form.

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is (a) an isosceles triangle (b) an obtuse triangle (c) an equilateral triangle (d) a right triangle