Question

look at figure 26. 14 Here,AB = AD and BC = DC. is angle ABC = triangle ADC? if so coma stage the congruence condition. show that b = d

Answer 1

In triangle ABC and ABD,
1.AB=AD
2.BC=CD
3.AC is common

Thus, the triangles are congruent.
thus, b=d (c.p.c.t.c)

Answer 2

Answer

Yes angle B=angleD

The triangle is congruent as

AB=AD

BC=CD

AC(common)

Therefore by SSS criterion it is congruent