Question

Triangle ABC is similar to triangle XYZ. Which of the following proportions is correct?

1) AB/XY = AC/YZ

2) AC/XY=BC/XZ

3) AB/XY=AC/XZ

4) BC/XY=AB/YX

Answer 1

Similar shapes are figures which have the same form or shapes but not necessarily are congruent shapes. These shapes could have different side lengths. Given that triangle ABC is equal triangle XYZ, then side AB would correspond to side XY, side BC would correspond to side YZ and side AC would correspond to side XZ. Therefore, the correct answer would be option 3. The correct proportion would be AB / XY = AC / XZ. From the choices, given it is the only option where the side lengths corresponds to each other (side AB to side XY and side AC to side XZ). 

Answer 2

The correct option is 3.

Explanation:

It is given that triangle ABC is similar to triangle XYZ.

The corresponding sides of similar triangles are proportional.

Since it is given that the triangle ABC is similar to triangle XYZ, so by using the definition of similarity triangles

`(AB)/(XY)=(BC)/(YZ)=(AC)/(XZ)`

From first and third term, we get

`(AB)/(XY)=(AC)/(XZ)`

Therefore the correct option is 3.