Question

determine if triangle uvw and triangle xyz are or are not similar, and, if they are, state how you know. (note that figures are not necessarily drawn to scale.) triangle uvw has sides: wu = 14, uv = 14, vw = 18. triangle xyz has sides: zy = 72, yx = 56, xz = 56. answer attempt 2 out of 2 the triangles are similar because sss: three sides congruent.

Explanation:

Step1: List side lengths of both triangles

Triangle UVW: $UW=14$, $UV=14$, $VW=18$
Triangle XYZ: $XZ=56$, $XY=56$, $YZ=72$

Step2: Calculate side ratios

$\frac{UW}{XZ} = \frac{14}{56} = \frac{1}{4}$
$\frac{UV}{XY} = \frac{14}{56} = \frac{1}{4}$
$\frac{VW}{YZ} = \frac{18}{72} = \frac{1}{4}$

Step3: Compare ratios for similarity

All corresponding side ratios are equal.

Answer:

The triangles are similar because SSS: three corresponding sides are in proportion (scale factor $\frac{1}{4}$)