Advertisements
Advertisements
प्रश्न
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.

Advertisements
उत्तर
Given, ∠1 = ∠2 ...(i)
And ∠2 = ∠3 ...(ii)
According to Euclid’s axiom, things which are equal to the same thing are equal to one another.
From equations (i) and (ii),
∠1 = ∠3
APPEARS IN
संबंधित प्रश्न
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
square
The three steps from solids to points are ______.
The total number of propositions in the Elements are ______.
It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is ______.
In ancient India, the shapes of altars used for household rituals were ______.
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is ______.
Greek’s emphasised on ______.
Which of the following needs a proof?
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠3 and ∠2 = ∠4. Show that ∠A = ∠C.

Read the following statement :
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are 60° each.
Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in a equilateral triangle.
