Quadrilateral
C
I
X
R
CIXR can be mapped onto quadrilateral
E
T
U
S
ETUS by a reflection. If
X
R
=
5
XR=5, find
U
S
US.
Without additional information about the sides and angles of both quadrilaterals, it is impossible to determine the length of US based solely on the given mapping. The reflection merely changes the orientation of the points, but not the distances between them.
To find the length of US, we need to consider the reflection of CIXR onto the quadrilateral ETUS.
Given that XR = 5, we can determine the length of ET. Since the reflection preserves lengths, we can conclude that ET = XR = 5.
Now, to find the length of US, we look for the corresponding side to XR under the reflection. In this case, the corresponding side to XR is US.
Therefore, US is also equal to 5.