Call me

Have a Query? We will call you right away.

+91

E.g: 9876543210, 01112345678

We will give you a call shortly, Thank You

Office hours: 9:00 am to 9:00 pm IST (7 days a week)

What are you looking for?

Syllabus

1) ACBD is a rectangle

2) CD is parallel to the original parallel lines.

Q.5. (a) In figure (1) given below, ABCD is a parallelogram with perimeter 40. Find the values of x and y.

(b) In figure (2) given below, ABCD is a parallelogram. Find the values of x and y.

(c) In figure (3) given below, ABCD is a rhombus. Find x and y.

1. AQ = BP

2. PQ = CD

3. ABPQ is a parallelogram

Q. In figure given below, ABCD is a rectangle and diagonals intersect at O. AC is produced to E. If $\angle $ECD = 146$\xb0$, find the angles of triangle AOB.

^{o}, prove that all four sides are equal, as the resultant quadrilateral before proving this can also be taken to be a rectangle.Q.7. (a) In figure (1) given below, equilateral triangle EBC surmounts square ABCD. Find angle BED represented by x.

(b) In figure (2) given below, ABCD is a rectangle and diagonals intersect at O. AC is produced to E. If $\angle $ ECD = 146$\xb0$, find the angles of the $\u25b3$AOB.

(c) In figure (3) given below, ABCD is a rhombus and diagonals intersect at O. If $\angle $OAB : $\angle $OBA = 3 : 2, find the angles of the $\u25b3$AOD.

14. (a) In figure ( 1) given below, A BCD is a parallelogram and X is mid-point of BC. The line AX produced meets DC produced at Q. The parallelogram ABPQ is completed. Prove that

(i) the triangles ABX and QCX are congruent-

(ii) DC=CQ=QP

18. In a parallelogram ABCD, the bisector of $\angle $A meets DC in E and AB= 2AD. Prove that

(i) BE bisects $\angle $ B

(ii) $\angle $ AEB = a right angle.

Example 6.In the adjoining figure, ABCD is a parallelogram. Find the values of x, y and z.Q10. In parallelogram ABCD, AP and AQ are perpendiculars from vertex of obtuse angle A as shown. If $\angle $

x: $\angle $y= 2 : 1 ; find the angles of the parallelogram.

16. ABCD is a square. ABO is an equilateral triangle inside the square. Find $\angle $DOC.

Q7. (a) In figure (1) given below, equilateral triangle EBC surmounts square ABCD. Find angle BED represented by x.

(b) In figure (2) given below, ABCD is a rectangle and diagonals intersect at O. AC is produced to E. If $\angle $ECD = 146°, find the angles of the $\u2206$AOB.

(c) In figure (3) given below, ABCD is a rhombus and diagonals intersect at O. If $\angle $OAB : $\angle $OBA = 3 : 2, find the angles of the $\u2206$AOD.

Q.8.c. In figure (3) given below, ABCD is a kite and diagonals intersect at O. If $\angle DAB=112\xb0and\angle DCB=64\xb0$, find $\angle ODCand\angle OBA$.

Q.9. In the following figure, OP, OQ and OR are drawn perpendiculars to the sides BC, CA and AB respectively of triangle ABC. Prove that :

$A{P}^{2}+B{P}^{2}+C{Q}^{2}=A{Q}^{2}+C{P}^{2}+B{R}^{2}$

Show that :

(i) $\angle POC=\left(22\frac{1}{2}\right)\xb0$

(ii) $\angle BDC=2\angle POC$

(iii)$\angle BOP=3\angle COP$