culars from B to the arms of ∠A (see Fig. 19). Show that: (NCERT) (i) Δ APB ≅ Δ AQB Fig.19
(ii) BP = BQ or B is equidistant from the arms of ∠ A.
32. In a triangle ABC, if AD is drawn to intersect BC at D such that it is perpendicular bisector of BC, prove that ABC is isosceles.
33. AD and BC are equal perpendiculars to a line segment AB (see Fig. 20). Show that CD bisects AB. (Fig.20)
34. In the figure 21, given alongside, l and m are
two parallel lines intersected by two other parallel lines p and q. Prove that ABC CDA. (NCERT)
(Fig.21)
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BP = BQ or B is equidistant from the arms of ∠ A.
32. In a triangle ABC, if AD is drawn to intersect BC at D such that it is perpendicular bisector of BC, prove that ABC is isosceles.
33. AD and BC are equal perpendiculars to a line segment AB (see Fig. 20). Show that CD bisects AB. (Fig.20)
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