Yesterday i was doing the question from class 9th ncert book of math of Quadrilaterals chapter of exercise 8.1 What is the easiest way for solving it because i was not able to do this question please help me for solving this question of 8. ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that: (ii) Diagonal BD bisects ∠B as well as ∠D.
AnilSinghBoraGuru
ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that: (ii) Diagonal BD bisects ∠B as well as ∠D. Q.8 (2)
Share
(ii) In ΔBCD,
BC = CD
⇒ ∠CDB = ∠CBD (Angles opposite to equal sides are equal)
also, ∠CDB = ∠ABD (Alternate interior angles)
⇒ ∠CBD = ∠ABD
Thus, BD bisects ∠B
Now,
∠CBD = ∠ADB
⇒ ∠CDB = ∠ADB
Thus, BD bisects ∠D