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

Question

Demarcus Avery

Mathematics

30 May, 21:01

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

+4

Answers (1)

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Emilee Neal · 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).

Triangle ABC is similar to triangle XYZ. Which of the following proportions is correct?1) AB/XY = AC/YZ2) AC/XY=BC/XZ3) AB/XY=AC/XZ4) BC/XY=AB/YX

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