Question

These two scalene triangles are similar with a scale of 4:5. What is true about these figures?

a. ED/AB=5/4

b. BC/DF=5/4

c. a/f=1

d. c/f=4/5

Answer 1

A. ed/ab=5/4 the others wouldn't work

Answer 2

Alright, lets get started.

Lets check each possible answer one by one.

We will start from option B.

BC is from small triangle and its corresponding side is DF, so its ratio will be
`(4)/(5)` not
`(5)/(4)` as given in option. Hence option B is incorrect.

For option C,

Angle a° and angle f° are not similar angles, if they were similar, then only their ratio will be 1 otherwise not 1. Hence option C is incorrect.

For option D,

Angle c° and angle f° are similar angles so, their ratio will be
`(c)/(f) = 1`. Hence option D is incorrect.

Now option A,

ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be
`(ED)/(AB) = (5)/(4)`. Hence option A is correct answer.

Hope it will help :)