Question

in the given figure AB equals to aAD and AC is the bisector of angle BAD.
1) state the three pairs of equal parts in triangle ABC and ADC.
2) Is triangle ABC is congruent to triangle ADC ? Give reasons.
3) Is angle B is congruent to angle D ? Give reasons.

please tell me . its a question of class 7

Answer 1

(1) AB = AD
angleBAC = angleDAC
AC = AC

(2) Yes, triangle ABC is congruent to triangle ADC because in both the triangles , two corresponding adjacent sides and the included angle are equal.

(3) Yes, angle B is congruent to angle D because they are the corresponding equal angles of two congruent triangles ( triangle ABC is congruent to triangle ADC ).

Answer 2

$hey \: mate \: here \: is \: your \\ answer \\ \\ 1) \: three \: pairs \: of \: equal \\ \: parts \: in \: triangle \:$
AB=AD(GIVEN) ,
AC = AC (common)
angle BAC = angle CAD (given)

2) they are equal because three pairs are equal..... and if they are equal the triangles are congruent... equal sides are proved above

3) Yes, angle B = angle D because of CPCT (corresponding parts of congruent triangles)