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?

Explanation:

Step1: Recall property of translation

Translation is a rigid - motion transformation. It preserves the shape and size of the figure. So, the perimeter of quadrilateral \(ABCD\) is equal to the perimeter of quadrilateral \(A'B'C'D'\).

Step2: Calculate the perimeter of \(ABCD\)

The perimeter \(P\) of quadrilateral \(ABCD\) is the sum of the lengths of its sides. \(P = AB + BC+CD + DA\). Given \(AB = 2.2\), \(BC = 4.5\), \(CD = 6.1\), \(DA=1.4\). Then \(P=2.2 + 4.5+6.1 + 1.4\).

Step3: Perform the addition

\(2.2+4.5 = 6.7\), \(6.7+6.1 = 12.8\), \(12.8 + 1.4=14.2\).

Answer:

\(14.2\)