Question

In each of the following figures, you find who triangles. Indicate whether the triangles are similar. Give reasons in support of your answer.

Answer 1

Answer:

Answer:

Triangles (i),(ii),(iii) are similar.

Step-by-step explanation:

(i)  

2.3 / 4.6 = 4/8 = 5/10

½ = ½ = ½

Corresponding sides of two similar triangles are proportional

Therefore, by SSS criterion of similarity these two triangles are similar.  

Hence, we can say that these two triangles are similar.

(ii) PQ || BC

In ΔAPQ  and ΔABC

∠APQ =∠B         [corresponding angles]

∠PAQ =∠BAC   [common]

ΔAPQ∼ΔABC  

[By AA Similarity criterion]

Therefore, by AA criterion of similarity these two triangles are similar.  

Hence, we can say that ΔAPQ∼ΔABC are similar.

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