1) Given: \(\overline{AB}\parallel\overline{DC}\) \(E\) is the midpoint of \(\overline{BD}\) Prove: \(E\) is the midpoint of \(\overline{AC}\)
2) Given: \(\overline{CD}\perp\overline{AB}\) \(D\) is the midpoint of \(\overline{AB}\) \(\overline{DC}\) is the angle bisector of \(\angle EDF\) Prove: \(\overline{ED}\cong\overline{DF}\)
4) Given: \(\overline{BD}\) bisects \(\angle ABC\), \(\overline{CD}\) bisects \(\angle ACB\), \(E\) is the midpoint of \(\overline{BC}\), \(\overline{BD}\cong\overline{CD}\) Prove: \(\angle ABC\cong\angle ACB\)
5) Given: \(\overline{BF}\cong\overline{CF}\), \(\overline{DF}\cong\overline{EF}\), \(G\) is the midpoint of \(\overline{BC}\) Prove: \(\angle DBC\cong\angle ECB\)
6) Given: \(E\) is the midpoint of \(\overline{AB}\), \(F\) is the midpoint of \(\overline{DC}\), \(\angle A\cong\angle B\), \(\overline{AD}\cong\overline{BC}\) Prove: \(\angle EFD\cong\angle EFC\)
11) Given: \(\overline{HK}\cong\overline{MJ}\), \(\overline{HJ}\) is an altitude \(\triangle HJK\) \(\overline{MK}\) is an altitude \(\triangle MKJ\) Prove: \(\angle 1\cong\angle 2\)
12) Given: \(\triangle ABC\) is isosceles \(\overline{AD}\perp\overline{BC}\) Prove: \(\triangle DEC\) is isosceles
18) Given: \(\overline{AB}\cong\overline{AC}\), \(D\) is the midpoint of \(\overline{AB}\) \(E\) is the midpoint of \(\overline{AC}\) Prove: \(\triangle FBC\) is isosceles