AB is a line segment, AX and BY are two equal line segments drawn on opposite sides of line AB such that AX || BY. If AB and XY intersect each other at P, prove that
`DeltaAPX~=DeltaBPY`

AB is a line segment.AX and BY are two equal line segments drawn on opposite sides of line AB such that AX||BY If AB and XY intersect each other at P, prove that APX~=BPY( ii) AB and XY bisect each other.

A B is a line segment, A X and B Y are two equal line segments drawn on opposite sides of line A B such that A X B Ydot If A B and X Y intersect each other P , prove that A P X~=B P Y A B and X Y bisect each other.

Draw a line segment equal to the sum of two line segments given in Fig.

Divide line segment AB=10 cm into six equal parts.

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

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

In the given figure, 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. Show that the line PQ is the perpendicular bisector of AB.

In Figure,line segments AB is parallel to another line segment CDdot O is the mid-point of AD .Show that: AOB~=DOC

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

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