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Syllabus

(i) angle BDE;

(ii) the angle between the diagonals CE, DF of the rectangle.

Prove that:

(i) ∠AOB = 90°

(ii) ∆AOD ≅ ∆COD

(iii) AD = CD

Q.3. In the following figure, AB = AC; BC = CD and DE is parallel to BC. Calculate :

(i) $\angle $CDE

(ii) $\angle $DCE

Q. In the figure, O is the centre of the circular arc ABC. Find the angles of triangle ABC

1. show that angle P:angle R=1:3

2.find the value of angle q

Q11. Ratio of the area of a triangle to the product of its sides is _________ times the reciprocal of its circum -radius.

1. QR = RK

2. KO produced bisects PQ

$Provethat:\phantom{\rule{0ex}{0ex}}\left(i\right)\angle AOB={90}^{\circ}\phantom{\rule{0ex}{0ex}}\left(ii\right)\u2206AOD\cong \u2206COD\phantom{\rule{0ex}{0ex}}\left(iii\right)AD=CD$

(ii) the angle between the diagonals CE, DF of the rectangle

3. In the figure, given below, triangle ABC is right-angled at B. ABPQ and ACRS are squares. Prove that :

(i) $\u25b3$ ACQ and $\u25b3$ ASB are congruent.

(ii) CQ = BS.

Q.12. In the adjoining figure, find the values of x and y.

(Answer will be 30?)