Afarmer is building a pentagon (that is m, 5 sided) pen to hold his animals. each side has an equal length. what is the total perimeter of the chicken pen if the length of one side is 3 square root 5 yards?

If abcde is reflected over the x-axis and then translated 3 units left, what are the new coordinates d?

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.

Find the area of the shaded region.