Question

Complete the congruence statement.

C
D
A
B
S
T
U
V
28 km
42 km
42 km
28 km

CDAB ≅

Answer 1

To complete the congruence statement \( CDAB \cong \), we'll need to identify the corresponding congruent figures based on the given lengths.

The given lengths of the sides are:
- \( CD = 28 \) km
- \( AB = 28 \) km
- \( DA = 42 \) km
- \( BC = 42 \) km

We can assume that \( CDAB \) is a quadrilateral where pairs of opposite sides are equal, which suggests that it could be either a rectangle or a parallelogram.

If the quadrilateral \( CDAB \) is congruent to another quadrilateral with the same corresponding sides, we can denote it as \( XYZW \), where:
- \( XY = CD = 28 \) km
- \( YZ = DA = 42 \) km
- \( ZW = AB = 28 \) km
- \( WX = BC = 42 \) km

Therefore, we can complete the congruence statement as:

\[
CDAB \cong XYZW
\]

This notation indicates that quadrilateral \( CDAB \) is congruent to quadrilateral \( XYZW \).