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,

$\dfrac{XY}{AB}=\dfrac{6}{12}$

$\dfrac{XY}{AB}=0.5$

Similarly,

$\dfrac{YZ}{BC}=\dfrac{3}{6}$

$\dfrac{YZ}{BC}=0.5$

And,

$\dfrac{XZ}{AC}=\dfrac{7}{14}$

$\dfrac{XZ}{AC}=0.5$

Since $\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}$, therefore

$\Delta XYZ\sim \Delta ABC$

It can be written as:

$\Delta ZYX\sim \Delta CBA$

Therefore, the correct option is A.