Shaalaa.com | Loci Example 1
The bisector of ∠ B and ∠C of a quadrilateral ABCD intersect in P, show that P is equidistant from the opposite sides AB and CD.
In ΔABC, the bisector AX of ∠A intersects BC ar X. XL ⊥ AB and XM ⊥ AC are drawn (Fig.) is XL = XM? why or why not?
l is the perpendicular bisector of line segment PQ and R is a point on the same side of l as P. The segment QR intersects l at X. Prove that PX + XR = QR.
Given a Δ ABC with unequal sides. Find a point which is equidistant from B and C as well as from AB and AC.
The diagonals of a quadrilateral bisect each other at right angles. Show that the quadrilateral is a rhombus.
What is the locus of points which are equidistant from the given non-collinear point A, B and C? Justify your answer.
Use ruler and compasses only for the following questions. All constructions lines and arcs must be clearly shown
Construct the locus of points equidistant from AC and BC.