ABC is an isosceles triangle in which `AB = AC. AD` bisects exterior angle `QAC and CD "||" BA` as shown in the figure. Show that
(i) `angleDAC = angleBCA`
(ii) ABCD is a parallelogram

ABC is an isosceles triangle in which AB=AC bisects exterior angle PAC and CD||AB (See the given figure ). Show that /_DAC = /_BCA

ABC is an isosceles triangle in which AB=AC bisects exterior angle PAC and CD||AB (See the given figure ). Show that ABCD is a parallelogram

ABC is an isosceles triangle with AB = AC. Draw AP bot BC to show that angle B = angle C

triangle ABC is an isosceles tr ia n g le in w h ich AB = AC. Side BA is produced to D such that AD = AB (see the given figure). Show that angle BCD is a right angle.

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see the given figure). Show that AD = AE.

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that ( i ) triangle ABE ~= triangle ACF (ii) AB = AC i.e ABC is an isoceles triangle

In an isosceles triangle ABC, with AB = AC, the bisectors of /_ B and /_ C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisects /_A

ABCD is a quadrilateral in which AD = BC and angle DAB = angle CBA (see the given figure). Prove that ( i ) triangle ABD = triangle BAC, ( ii) BD = AC and (iii) angle ABD = angle BAC

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that: ( i ) AD bisects BC ( ii) AD bisects angle A

ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that angle ABD = angle ACD .