Question

In the given figure, ∠1 = ∠2 and ∠3 = ∠4.

(i) Is ΔADC ≅ ΔABC Why?

Show that AD = AB and CD = CB.

Answer 1

(i) In ΔADC and  ΔABC

∠1 = ∠2   [given]

AC = AC   [common side]

∠3 = ∠4.   [given]

By ASA congruence criterion, ΔADC ≅ ΔABC

(ii) AD = AB    [by CPCT]

CD = CB    [by CPCT]

Comments

Thanks for the answer

Answer 2

✓ADC MUST BE EQUAL TO ✓ABC. FROM ANGLE ANGLE ANGLE CONGRUENCY ∆ABC AND ∆ADC ARE CONGRUENT. GIVEN SIDES ARE ALSO EQUAL PROVED BY C. P. C. T.

Comments

Wrong and improper answer and ANGLE ANGLE ANGLE is not a congruence criterion
Please valid it next time
Regards
Chahat Sharma