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Description: This quiz covers the topic of Indian Contributions to Geometry.
Number of Questions: 15
Created by:
Tags: indian mathematics geometry contributions
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Who is considered the father of Indian geometry?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Panini

Show answer
Correct Option: C
Explanation:

Brahmagupta is considered the father of Indian geometry for his contributions to the field, including his work on the Pythagorean theorem and the Brahmagupta formula.

What is the Brahmagupta formula?

  1. A formula for finding the area of a triangle

  2. A formula for finding the volume of a sphere

  3. A formula for finding the circumference of a circle

  4. A formula for finding the sum of the angles in a triangle

Show answer
Correct Option: A
Explanation:

The Brahmagupta formula is a formula for finding the area of a triangle given the lengths of its sides.

What is the Pythagorean theorem?

  1. A theorem that states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

  2. A theorem that states that in a right triangle, the square of the hypotenuse is equal to the difference of the squares of the other two sides.

  3. A theorem that states that in a right triangle, the square of the hypotenuse is equal to the product of the squares of the other two sides.

  4. A theorem that states that in a right triangle, the square of the hypotenuse is equal to the quotient of the squares of the other two sides.

Show answer
Correct Option: A
Explanation:

The Pythagorean theorem is a theorem that states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Who is known for his work on the Sulba Sutras?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Baudhayana

Show answer
Correct Option: D
Explanation:

Baudhayana is known for his work on the Sulba Sutras, which are a collection of mathematical texts that deal with geometry, algebra, and astronomy.

What is the Sulba Sutras?

  1. A collection of mathematical texts that deal with geometry, algebra, and astronomy.

  2. A collection of mathematical texts that deal with arithmetic, geometry, and trigonometry.

  3. A collection of mathematical texts that deal with algebra, geometry, and calculus.

  4. A collection of mathematical texts that deal with geometry, algebra, and statistics.

Show answer
Correct Option: A
Explanation:

The Sulba Sutras are a collection of mathematical texts that deal with geometry, algebra, and astronomy.

What is the name of the theorem that states that the sum of the interior angles of a triangle is 180 degrees?

  1. Pythagorean theorem

  2. Brahmagupta theorem

  3. Angle sum theorem

  4. Triangle inequality theorem

Show answer
Correct Option: C
Explanation:

The angle sum theorem states that the sum of the interior angles of a triangle is 180 degrees.

What is the name of the theorem that states that the area of a triangle is equal to half the product of its base and height?

  1. Pythagorean theorem

  2. Brahmagupta theorem

  3. Angle sum theorem

  4. Heron's formula

Show answer
Correct Option: D
Explanation:

Heron's formula states that the area of a triangle is equal to half the product of its base and height.

What is the name of the theorem that states that the area of a circle is equal to pi times the square of its radius?

  1. Pythagorean theorem

  2. Brahmagupta theorem

  3. Angle sum theorem

  4. Area of a circle formula

Show answer
Correct Option: D
Explanation:

The area of a circle formula states that the area of a circle is equal to pi times the square of its radius.

What is the name of the theorem that states that the volume of a sphere is equal to four-thirds pi times the cube of its radius?

  1. Pythagorean theorem

  2. Brahmagupta theorem

  3. Angle sum theorem

  4. Volume of a sphere formula

Show answer
Correct Option: D
Explanation:

The volume of a sphere formula states that the volume of a sphere is equal to four-thirds pi times the cube of its radius.

What is the name of the theorem that states that the surface area of a sphere is equal to four pi times the square of its radius?

  1. Pythagorean theorem

  2. Brahmagupta theorem

  3. Angle sum theorem

  4. Surface area of a sphere formula

Show answer
Correct Option: D
Explanation:

The surface area of a sphere formula states that the surface area of a sphere is equal to four pi times the square of its radius.

Who is known for his work on the Lilavati?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Panini

Show answer
Correct Option: B
Explanation:

Bhaskara II is known for his work on the Lilavati, which is a treatise on mathematics that covers topics such as arithmetic, geometry, and algebra.

What is the name of the theorem that states that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides?

  1. Pythagorean theorem

  2. Brahmagupta theorem

  3. Angle sum theorem

  4. Parallelogram law

Show answer
Correct Option: D
Explanation:

The parallelogram law states that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

What is the name of the theorem that states that the area of a triangle is equal to half the product of its base and height?

  1. Pythagorean theorem

  2. Brahmagupta theorem

  3. Angle sum theorem

  4. Heron's formula

Show answer
Correct Option: D
Explanation:

Heron's formula states that the area of a triangle is equal to half the product of its base and height.

What is the name of the theorem that states that the volume of a sphere is equal to four-thirds pi times the cube of its radius?

  1. Pythagorean theorem

  2. Brahmagupta theorem

  3. Angle sum theorem

  4. Volume of a sphere formula

Show answer
Correct Option: D
Explanation:

The volume of a sphere formula states that the volume of a sphere is equal to four-thirds pi times the cube of its radius.

What is the name of the theorem that states that the surface area of a sphere is equal to four pi times the square of its radius?

  1. Pythagorean theorem

  2. Brahmagupta theorem

  3. Angle sum theorem

  4. Surface area of a sphere formula

Show answer
Correct Option: D
Explanation:

The surface area of a sphere formula states that the surface area of a sphere is equal to four pi times the square of its radius.

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