Please help with this two-column proof. Just fill in the statements and reasons in the blanks. /5. D is the midpoint of side BC of triangleABC and the bisectors of angles ADBand ADC meet AB and AC at E and Frespectively.Prove: EF is parallel to BC. (See Theo-rem 54.) 5.Given: D is the midpoint of BC of triangle ABCProve: EF//BCStatementsReasons1.D is the midpoint of side BC of triangle 1.GivenABC and the bisectors of angles ADBand ADC meet AB and AC at E and Frespectively3.Triangle ABC = triangle AEF3.lf two angles of one triangle are equalrespectively to two angles of another,then the triangle are similar. (a.a.)4.AE + EB = AB & AF+FC = AC4.Segment Addition Postulate%3D5.Triangle BDE = triangle ADE & triangleCDF = triangle ADF5.Definition of angle bisector%3D6.Corresponding sides of similartriangles are proportional (C.S.S.T.P.)6.AE/EB = AF/FC%3D7.Angle ABD = angle AEF & angle BCA = 7.Corresponding Angles Postulateangle EFA%3D8.DE bisects AB and DF bisects AC8.proportionally9. If a line divides two sides of a triangleproportionally, then it is parallel to thethird side. (Theorem 54)9.EF // BCET!!

Name: Please help with this two-column proof. Just fill in the statements an
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: Please help with this two-column proof. Just fill in the statements and reasons in the blanks. /5. D is the midpoint of side BC of triangleABC and the bisectors of angles ADBand ADC meet AB and AC at E and Frespectively.Prove: EF is parallel to BC. (