Question

State which pair of triangles in the following figure are similar. Write the similarity criterion used by you for answering the question, and also write the pairs of similar triangles in the symbolic form:

Answer 1

In ΔLMP and ΔDEF, we have

LM = 2.7, MP = 2, LP = 3, EF = 5, DE = 4, DF = 6

`("MP")/("DE") = 2/4 = 1/2`

`("PL")/("DF") = 3/6 = 1/2`

`("LM")/("EF") = 2.7/5 = 27/50`

Here, `("MP")/("DE") = ("PL")/("DF") ≠ ("LM")/("EF")`

Hence, ΔLMP and ΔDEF are not similar.