Question

These triangles are similar and the sides are proportional. Which proportion correctly describes the situation below?

Answer 1

Option (3)

Explanation:

"If two triangles are similar, their corresponding sides are proportional."

We will check each proportionality ratio given in the options for the given property,

Option (1),

`(QB)/(DM)=(DF)/(QL)=(LB)/(MF)`

`(3.5)/(2)=(5)/(8.75)=(10.5)/(6)`

`(7)/(4)=(4)/(7)=(7)/(4)`

But
`(7)/(4)\\eq (4)/(7)`.

Therefore, this option is not the answer.

Option (2),

`(FM)/(LB)=(BQ)/(MD)=(QL)/(DF)`

`(6)/(10.5)=(3.5)/(2)=(8.75)/(5)`

`(4)/(7)=(7)/(4)=(7)/(4)`

But
`(4)/(7)\\eq (7)/(4)`,

Therefore, this option is not the option.

Option (3),

`(BQ)/(MD)=(QL)/(DF)=(BL)/(MF)`

`(3.5)/(2)=(8.75)/(5)=(10.5)/(6)`

`(7)/(4)=(7)/(4)=(7)/(4)`

Therefore, this option is the answer.

Option (4),

`(6)/(10.5)=(2)/(3.5)=(5)/(10.5)`

`(4)/(7)=(4)/(7)=(10)/(21)`

But,
`(4)/(7)\\eq (10)/(21)`

Therefore, this is not the correct option.