Question

NEED ASAP URGENT

Which similarity statement expresses the relationship between the two triangles?

triagleZYX- triangleCAB

triangleZYX-triangleACB

triangleZYX-triangleCBA

triangleZYX - triangleABC

Answer 1

Given:

The figure of two triangles.

To find:

The similarity statement for the given triangles.

Solution:

The corresponding sides of similar triangles are proportional.

In the given triangles,

`(XY)/(AB)=(6)/(12)`

`(XY)/(AB)=0.5`

Similarly,

`(YZ)/(BC)=(3)/(6)`

`(YZ)/(BC)=0.5`

And,

`(XZ)/(AC)=(7)/(14)`

`(XZ)/(AC)=0.5`

Since
`(XY)/(AB)=(YZ)/(BC)=(XZ)/(AC)`, therefore

`\Delta XYZ\sim \Delta ABC`

It can be written as:

`\Delta ZYX\sim \Delta CBA`

Therefore, the correct option is A.