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SSC (English Medium) इयत्ता ९ वी - Maharashtra State Board Question Bank Solutions for Geometry

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Geometry
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How many lines are determined by three distinct points?

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Draw the graphs of the following equations on the same system of co-ordinates. Write the co-ordinates of their points of intersection.

x + 4 = 0, y - 1 = 0, 2x + 3 = 0, 3y - 15 = 0

[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

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Draw the graph of the equation given below.

 x + y = 2

[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph of the equation given below.

3x - y = 0

[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph of the equation given below.

2x + y = 1

[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

Perpendicular height of a cone is 12 cm and its slant height is 13 cm. Find the radius of the base of the cone.

[9] Surface area and volume
Chapter: [9] Surface area and volume
Concept: undefined >> undefined

The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not.

Point A B C D E
Co-ordinate -3 5 2 -7 9

seg BC and seg AD

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not.

Point A B C D E
Co-ordinate -3 5 2 -7 9

seg BE and seg AD

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

In a parallelogram `square`ABCD, If ∠A = (3x + 12)°, ∠B = (2x - 32)° then find the value of x and then find the measures of ∠C and ∠D. 

[5] Quadrilaterals
Chapter: [5] Quadrilaterals
Concept: undefined >> undefined

On a graph paper, plot the points A(2, 3), B(6,-1) and C(0, 5). If those points are collinear then draw the line which includes them. Write the co-ordinates of the points at which the line intersects the X-axis and the Y-axis.

[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

Perpendicular height of a cone is 12 cm and its slant height is 13 cm. Find the radius of the base of the cone.

[9] Surface area and volume
Chapter: [9] Surface area and volume
Concept: undefined >> undefined

Write a converse of the following statement.

The alternate angles formed by two parallel lines and their transversal are congruent.

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Write a converse of the following statement.

If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel.

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Write a converse of the following statement.

The diagonals of a rectangle are congruent.

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Write the following statement in 'if-then' form.

The opposite angles of a parallelogram are congruent.

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Write the following statement in 'if-then' form.

The diagonals of a rectangle are congruent.

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Write the following statement in 'if-then' form.

In an isosceles triangle, the segment joining the vertex and the mid point of the base is perpendicular to the base.

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Write the following statement in conditional form.

Every rhombus is a square.

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Write the following statement in conditional form.

Angles in a linear pair are supplementary.

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Write the following statement in conditional form.

A triangle is a figure formed by three segments.

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined
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