Question

exploring the properties of rigid transformations
the pre - image, △stu, has undergone a type of transformation called a rigid transformation to produce the image, △vwx. compare the measures of the triangles by dragging the image to the pre - image. which measures are equal? check all that apply.
st = vw
su = vx
tu = wx
m∠sut = m∠vxw
m∠tsu = m∠wvx
m∠uts = m∠xwv

Explanation:

Step1: Recall rigid - transformation property

Rigid transformations (translations, rotations, reflections) preserve side - lengths and angle - measures. Corresponding sides and corresponding angles of the pre - image and image are equal.

Step2: Identify corresponding sides

Corresponding sides of $\triangle STU$ and $\triangle VWX$: $ST$ corresponds to $VW$, $SU$ corresponds to $VX$, $TU$ corresponds to $WX$.

Step3: Identify corresponding angles

$\angle SUT$ corresponds to $\angle VXW$, $\angle TSU$ corresponds to $\angle WVX$, $\angle UTS$ corresponds to $\angle XVW$.

Answer:

ST = VW
SU = VX
TU = WX
m∠SUT = m∠VXW
m∠TSU = m∠WVX
m∠UTS = m∠XVW