3. Which side in ΔFED does AC in ΔABC correspond to? 4. What scale factor was used in the dilation of ΔABC to ΔFED? Explain how you found the scale factor.

5. What is the length of side DE? Show how you found this length.

6. Use the Pythagorean theorem to find the length of side FD. Show your work.

In a column proof the right column states your reasons

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.

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 5 x + y = 7 {} 1 solution infinite