AB is a line segment D and P is its mid-point. D and E are points on the same side of AB such that `angleBAD = angleABE and angleEPA = angleDPB` (see figure). Show that

`DeltaDAP~=DeltaEBP`

AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that angleBAD = angleABE and angleEPA = angleDPB (see figure). Show that AD=BE

AB is a line segment and P is its midpoint. D and E are points on the same side of AD such that angleBAD=angleABE and angleEPA=angleDPB . Show that (i) DeltaDAP~=DeltaEBP, (ii) AD=BE.

AB is a line and P is its midpoint. D and E are two points on the same side of line segment AB such that angleBAD=angleABE and angleEPA=angleDPB . Prove that AD=BE

AB is a line and P is its midpoint. D and E are two points on the same side of line segment AB such that angleBAD=angleABE and angleEPA=angleDPB . Prove that DeltaDAP-=DeltaEBP

If C is the mid-point of AB and P is any point outside AB, then

AB is a line segment.P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (in figure).Show that the line PQ is perpendicular bisector of AB

D is a point on side BC of triangle ABC such that AD = AC (see figure). Show that AB gt AD .

AB is a line segment and line l is its perpendicular bisector.If a point P lies on l show that P is equidistant from A and B.

AB is a line-segment.P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (see Fig.7.37 ).Show that the line PQ is the perpendicular bisector of AB