Question

Which of the following theorems verifies that ABC~ADEF?BE4463°63°AC DFOA. LL○ B. HL0 C. AAD. HA

Answer 1

Given:

Find: which theorem verify that given two triangles are similar.

Explanation:

by AA creteria, we have

angle A is equal to angle D i.e; 63 degree

angle C is equal to angle F i.e; 90 degree

In triangle ABC,

$\begin{gathered} \angle A+\angle B+\angle C=180^0 \\ 63^0+\angle B+90^0=180^0 \\ 153^0+\angle B=180^0 \\ \angle B=27^0 \end{gathered}$

Similarly ,

$\angle E=27^0$

hence the given two triangles are similar by AA property.

Final answer: AA property is required answer.