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Question
In the figure given below, find a point P on CD equidistant from points A and B.

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Solution

Steps of construction:
- AB and CD are the two lines given.
- Draw a perpendicular bisector of line AB which intersects CD in P.
P is the required point which is equidistant from A and B.
Since P lies on perpendicular bisector of AB; PA = PB.
RELATED QUESTIONS
Construct a triangle ABC, in which AB = 4.2 cm, BC = 6.3 cm and AC = 5 cm. Draw perpendicular bisector of BC which meets AC at point D. Prove that D is equidistant from B and C.
Use ruler and compasses only for this question.
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- Mark the point P which is equidistant from AB, BC and also equidistant from B and C. Measure and record the length of PB.
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