Question

Compare the two triangles found in each figure. Find out whether they are similar or not. Give reasons.

(i)

(ii)

(iii)

(iv)

Answer 1

(i) In triangle AED:

In ΔABC:

If two triangles are equiangular, then they are similar.

Hence, ΔABC and ΔAED are similar.

(ii) In triangle ABC:

In ΔODE:

Also,

Since ΔABC and ΔDOE are not equiangular, they are not similar.

(iii) In ΔABC and ΔCDE:

If the corresponding sides of two triangles are proportional, then they are similar.

Hence, ΔABC and ΔCDE are not similar.

(iv) In ΔADE and ΔABC, we have DE || BC.

Hence, ΔADE and ΔABC are not similar.