SSC (English Medium) 9th Standard - Maharashtra State Board Question Bank Solutions for Geometry

Construct ΔXYZ, in which YZ = 6 cm, XY + XZ = 9 cm. ∠XYZ = 50°.

Construct ΔABC, in which BC = 6.2 cm, ∠ACB= 50°, AB + AC = 9.8 cm.

Construct ΔABC, in which BC = 3.2 cm, ∠ACB = 45° and perimeter of ΔABC is 10 cm.

Construct ΔXYZ, such that XY + XZ = 10.3 cm, YZ = 4.9 cm, ∠XYZ = 45°.

Diagonals of a parallelogram intersect each other at point O. If AO = 5, BO = 12 and AB = 13 then show that `square`ABCD is a rhombus. 

In a rhombus PQRS if PQ = 7.5 cm then find QR. If ∠QPS = 75° then find the measure of ∠PQR and ∠SRQ.

Diagonals of a rhombus are 20 cm and 21 cm respectively, then find the side of rhombus and its perimeter.

State with reason whether the following statement is ‘true’ or ‘false’.

Every parallelogram is a rhombus.

State with reason whether the following statement is ‘true’ or ‘false’.

Every rhombus is a rectangle.

If all pairs of adjacent sides of a quadrilateral are congruent then it is called ______.

If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.

Diagonals PR and QS of a rhombus PQRS are 20 cm and 48 cm respectively. Find the length of side PQ.

Draw the coordinate system on a plane and plot the following points.

L(-2, 4), M(5, 6), N(-3, -4), P(2, -3), Q(6, -5), S(7, 0), T(0, -5)

Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.

Total surface area of a cube is 5400 sq. cm. Find the surface area of all vertical faces of the cube.

Total surface area of a cube is 864 sq.cm. Find its volume.

Construct ΔXYZ, such that YZ = 7.4 cm, ∠XYZ = 45° and XY - XZ = 2.7 cm.

Construct ΔPQR, such that QR = 6.5 cm, ∠PQR = 40° and PQ - PR = 2.5 cm.

Construct ΔABC, such that BC = 6 cm, ∠ABC = 100° and AC - AB = 2.5cm.

Construct ΔPQR, in which PQ - PR = 2.4 cm, QR = 6.4 cm and ∠PQR = 55°.