English Medium कक्षा ९ - CBSE Question Bank Solutions

Thales belongs to the country ______.

Pythagoras was a student of ______.

Which of the following needs a proof?

Euclid stated that all right angles are equal to each other in the form of ______.

‘Lines are parallel, if they do not intersect’ is stated in the form of ______.

The boundaries of the solids are curves.

The edges of a surface are curves.

The things which are double of the same thing are equal to one another.

If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C.

The statements that are proved are called axioms.

“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.

Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.

Solve the following question using appropriate Euclid’s axiom:

Two salesmen make equal sales during the month of August. In September, each salesman doubles his sale of the month of August. Compare their sales in September.

Solve the following question using appropriate Euclid’s axiom:

It is known that x + y = 10 and that x = z. Show that z + y = 10?

Solve the following question using appropriate Euclid’s axiom:

Look at the figure. Show that length AH > sum of lengths of AB + BC + CD.

Solve the following question using appropriate Euclid’s axiom:

In the following figure, we have AB = BC, BX = BY. Show that AX = CY.

Solve the following question using appropriate Euclid’s axiom:

In the following figure, we have X and Y are the mid-points of AC and BC and AX = CY. Show that AC = BC.

Solve the following question using appropriate Euclid’s axiom:

In the following figure, we have BX = `1/2` AB, BY = `1/2` BC and AB = BC. Show that BX = BY.

Solve the following question using appropriate Euclid’s axiom:

In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.

Solve the following question using appropriate Euclid’s axiom:

In the following figure, we have ∠1 = ∠3 and ∠2 = ∠4. Show that ∠A = ∠C.