A straight line AB is 8 cm long. Locate by construction the locus of a point which is:
(i) Equidistant from A and B.
(ii) Always 4 cm from the line AB.
(iii) Mark two points X and Y, which are 4 cm from AB and equidistant from A and B. Name the figure AXBY.(2008)
Solution:
Use ruler and compasses only for this question.
(i) Construct ∆ABC, where AB = 3.5 cm, BC = 6 cm and ∠ABC = 60°.
(ii) Construct the locus of points inside the triangle which are equidistant from BA and BC.
(iii) Construct the locus of points inside the triangle which are equidistant from B and C.
(iv) Mark the point P which is equidistant from AB, BC and also equidistant from B and C. Measure arid record the length of PB. (2010)
Solution:
More Solutions:
- Draw a circle of radius 4 cm and mark two chords AB and AC.
- Draw the locus of all points which are equidistant from A and B.
- Construct the locus of a point P such that area of triangle PAB is 14 cm².
- AB and CD are two intersecting lines.
- Construct a rhombus PQRS whose diagonals PR, QS are 8 cm and 6 cm.
- By using ruler and compass only, construct a quadrilateral ABCD.