The length of the side C'D' is 2.8 given that quadrilateral ABCD is rotated 55° about point R to create quadrilateral A'B'C'D' and from the figure A'B' = 4, ∠A' = 166°, A'D' = 3, CD = 2.8, ∠C = 123° and BC = 5. This can be obtained as rotation about a point, the length of the side or the angles does not change.
Here in the question it is given that,
⇒ We have to find the length of the side C'D'.
On rotation about a point, the length of the side or the angles does not change.
Therefore we can write that,
⇒ A'B' = AB = 4
⇒ A'D' = AD = 3
⇒ B'C' = BC = 5
⇒ C'D' = CD = 2.8
and
⇒ ∠A' = ∠A = 166°
⇒ ∠C = ∠C = 123°
Hence the length of the side C'D' is 2.8 given that quadrilateral ABCD is rotated 55° about point R to create quadrilateral A'B'C'D' and from the figure A'B' = 4, ∠A' = 166°, A'D' = 3, CD = 2.8, ∠C = 123° and BC = 5.
Learn more about quadrilaterals here:
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