Question

State which pair of triangles in the figure given below is similar. Write the similarity criterion used, and also write the pair of similar triangles in symbolic form.

Answer 1

For ΔABC:

• AB = 2 cm
• AC = 3 cm
• BC = 4 cm

For ΔDEF:

• DE = 4 cm
• DF = 6 cm
• EF = 7 cm

Now let’s check the ratios of corresponding sides:

`(AB)/(DE) = 2/4 = 1/2`,

`(AC)/(DF) = 3/6 = 1/2`

`(BC)/(EF) = 4/7`

Since: `(BC)/(EF) ≠ 1/2`

None of the three sides is proportional, so the triangles are not similar.