Question

quadrilateral abcd is translated 2 units to the left and 5 units down to create quadrilateral abcd.
what is the perimeter of quadrilateral abcd?
units

Explanation:

Step1: Recall the property of translation

Translation is a rigid transformation. Rigid transformations (translations, rotations, reflections) preserve the shape and size of the figure. So, the perimeter of \(ABCD\) is equal to the perimeter of \(A'B'C'D'\).

Step2: Calculate the perimeter of \(ABCD\)

The perimeter \(P\) of a quadrilateral \(ABCD\) with side - lengths \(AB = 2.2\), \(BC=4.5\), \(CD = 6.1\), and \(DA=1.4\) is given by the sum of its side - lengths.

$$P=AB + BC+CD + DA$$

Substitute the values: \(P=2.2 + 4.5+6.1+1.4\)
First, add \(2.2+4.5 = 6.7\), then \(6.7+6.1=12.8\), and finally \(12.8 + 1.4=14.2\)

Answer:

\(14.2\)