Question

If ?ABC and ?XYZ are similar, which must be true? A) BC YZ = AC YX B) BC YZ = BA XZ C) AC XZ = BC YZ D) AC XZ = BA XZ

Answer 1

Answer: BC/YZ = AC/XZ

Explanation:

Remember the end letters need to be the same. So if you look at your choices this is the only one that is in order BC AC

YZ XZ

took the test

Answer 2

The correct option is C.

Explanation:

Let triangle ABC and XYZ are similar.

If two triangles are similar, then ratio of their corresponding sides are same.

Since ABC and XYZ are similar, therefore sides AB, BC and AC are corresponding to the sides XY, YZ and XZ respectively.

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

From the above equation we can conclude that

`(BC)/(YZ)\\eq (AC)/(YX)`

`(BC)/(YZ)\\eq (BA)/(XZ)`

`(AC)/(XZ)\\eq (BA)/(XZ)`

Therefore option A,B and D are incorrect.